Buhmann, Martin; Jäger, Janin Strict positive definiteness of convolutional and axially symmetric kernels on \(d\)-dimensional spheres. (English) Zbl 07523755 J. Fourier Anal. Appl. 28, No. 3, Paper No. 40, 25 p. (2022). MSC: 43A35 33B10 41A05 41A58 41A63 43A90 65D05 PDF BibTeX XML Cite \textit{M. Buhmann} and \textit{J. Jäger}, J. Fourier Anal. Appl. 28, No. 3, Paper No. 40, 25 p. (2022; Zbl 07523755) Full Text: DOI OpenURL
Mercadier, Cécile; Roustant, Olivier; Genest, Christian Linking the Hoeffding-sobol and Möbius formulas through a decomposition of kuo, sloan, wasilkowski, and woźniakowski. (English) Zbl 07512053 Stat. Probab. Lett. 185, Article ID 109419, 8 p. (2022). MSC: 41A63 46N30 PDF BibTeX XML Cite \textit{C. Mercadier} et al., Stat. Probab. Lett. 185, Article ID 109419, 8 p. (2022; Zbl 07512053) Full Text: DOI OpenURL
Bejancu, Aurelian Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels. (English) Zbl 07509389 J. Approx. Theory 278, Article ID 105740, 18 p. (2022). MSC: 41A05 41A63 41A25 41-XX 42-XX PDF BibTeX XML Cite \textit{A. Bejancu}, J. Approx. Theory 278, Article ID 105740, 18 p. (2022; Zbl 07509389) Full Text: DOI OpenURL
Khartov, A. A.; Limar, I. A. Asymptotic analysis in multivariate average case approximation with Gaussian kernels. (English) Zbl 07502616 J. Complexity 70, Article ID 101631, 21 p. (2022). MSC: 65Y20 60G60 41A25 41A63 41A65 PDF BibTeX XML Cite \textit{A. A. Khartov} and \textit{I. A. Limar}, J. Complexity 70, Article ID 101631, 21 p. (2022; Zbl 07502616) Full Text: DOI OpenURL
Lu, Wanting; Wang, Heping On the power of standard information for tractability for \(L_2\)-approximation in the average case setting. (English) Zbl 07502615 J. Complexity 70, Article ID 101618, 22 p. (2022). MSC: 65-XX 41A63 65C05 65D15 65Y20 PDF BibTeX XML Cite \textit{W. Lu} and \textit{H. Wang}, J. Complexity 70, Article ID 101618, 22 p. (2022; Zbl 07502615) Full Text: DOI OpenURL
Temlyakov, Vladimir N.; Ullrich, Tino Approximation of functions with small mixed smoothness in the uniform norm. (English) Zbl 07501642 J. Approx. Theory 277, Article ID 105718, 23 p. (2022). MSC: 41A46 41A25 41A63 42A10 68Q25 94A20 PDF BibTeX XML Cite \textit{V. N. Temlyakov} and \textit{T. Ullrich}, J. Approx. Theory 277, Article ID 105718, 23 p. (2022; Zbl 07501642) Full Text: DOI OpenURL
Opschoor, J. A. A.; Schwab, Ch.; Zech, J. Exponential ReLU DNN expression of holomorphic maps in high dimension. (English) Zbl 07493725 Constr. Approx. 55, No. 1, 537-582 (2022). MSC: 41A10 41A25 41A46 41A63 PDF BibTeX XML Cite \textit{J. A. A. Opschoor} et al., Constr. Approx. 55, No. 1, 537--582 (2022; Zbl 07493725) Full Text: DOI OpenURL
Yarotsky, Dmitry Universal approximations of invariant maps by neural networks. (English) Zbl 07493723 Constr. Approx. 55, No. 1, 407-474 (2022). MSC: 41A63 41A29 68Q17 62J02 62M45 20C35 13A50 PDF BibTeX XML Cite \textit{D. Yarotsky}, Constr. Approx. 55, No. 1, 407--474 (2022; Zbl 07493723) Full Text: DOI arXiv OpenURL
Gal, Sorin G.; Niculescu, Constantin P. Nonlinear versions of Korovkin’s abstract theorems. (English) Zbl 07481808 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 68, 17 p. (2022). MSC: 41A35 41A36 41A63 PDF BibTeX XML Cite \textit{S. G. Gal} and \textit{C. P. Niculescu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 68, 17 p. (2022; Zbl 07481808) Full Text: DOI arXiv OpenURL
Dũng, Dinh; Huy, Vu Nhat Approximation by linear combinations of translates of a single function. (English) Zbl 07475810 Math. Inequal. Appl. 25, No. 1, 169-186 (2022). MSC: 41A46 41A63 42A99 PDF BibTeX XML Cite \textit{D. Dũng} and \textit{V. N. Huy}, Math. Inequal. Appl. 25, No. 1, 169--186 (2022; Zbl 07475810) Full Text: DOI arXiv OpenURL
Kolomoitsev, Yurii Approximation by quasi-interpolation operators and Smolyak’s algorithm. (English) Zbl 07472472 J. Complexity 69, Article ID 101601, 24 p. (2022). MSC: 41A25 41A63 42A10 42A15 41A58 41A17 42B25 42B35 PDF BibTeX XML Cite \textit{Y. Kolomoitsev}, J. Complexity 69, Article ID 101601, 24 p. (2022; Zbl 07472472) Full Text: DOI arXiv OpenURL
Sukhorukova, Nadezda; Ugon, Julien A generalisation of de la Vallée-Poussin procedure to multivariate approximations. (English) Zbl 1482.41022 Adv. Comput. Math. 48, No. 1, Paper No. 5, 19 p. (2022). MSC: 41A63 41A10 PDF BibTeX XML Cite \textit{N. Sukhorukova} and \textit{J. Ugon}, Adv. Comput. Math. 48, No. 1, Paper No. 5, 19 p. (2022; Zbl 1482.41022) Full Text: DOI arXiv OpenURL
Kaarnioja, Vesa; Kazashi, Yoshihito; Kuo, Frances Y.; Nobile, Fabio; Sloan, Ian H. Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. (English) Zbl 07459675 Numer. Math. 150, No. 1, 33-77 (2022). MSC: 41A15 41A63 65D07 65D15 65T40 PDF BibTeX XML Cite \textit{V. Kaarnioja} et al., Numer. Math. 150, No. 1, 33--77 (2022; Zbl 07459675) Full Text: DOI arXiv OpenURL
Phung Van Manh; Nguyen Van Trao; Phan Thanh Tung; Le Ngoc Cuong Taylor type and Hermite type interpolants in \(\mathbb{R}^n \). (English) Zbl 07456972 Numer. Algorithms 89, No. 1, 145-166 (2022). MSC: 41A10 41A63 PDF BibTeX XML Cite \textit{Phung Van Manh} et al., Numer. Algorithms 89, No. 1, 145--166 (2022; Zbl 07456972) Full Text: DOI OpenURL
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun Optimal approximation rate of ReLU networks in terms of width and depth. (English. French summary) Zbl 07453385 J. Math. Pures Appl. (9) 157, 101-135 (2022). MSC: 41A25 41A63 41A46 68T15 PDF BibTeX XML Cite \textit{Z. Shen} et al., J. Math. Pures Appl. (9) 157, 101--135 (2022; Zbl 07453385) Full Text: DOI arXiv OpenURL
Gao, Qinjiao; Sun, Xingping; Zhang, Shenggang Optimal stochastic Bernstein polynomials in Ditzian-Totik type modulus of smoothness. (English) Zbl 07444643 J. Comput. Appl. Math. 404, Article ID 113888, 14 p. (2022). MSC: 41A25 41A63 42B08 60H30 PDF BibTeX XML Cite \textit{Q. Gao} et al., J. Comput. Appl. Math. 404, Article ID 113888, 14 p. (2022; Zbl 07444643) Full Text: DOI OpenURL
Potts, D.; Schmischke, M. Learning multivariate functions with low-dimensional structures using polynomial bases. (English) Zbl 1476.65024 J. Comput. Appl. Math. 403, Article ID 113821, 19 p. (2022). MSC: 65D15 41A55 41A63 62J10 PDF BibTeX XML Cite \textit{D. Potts} and \textit{M. Schmischke}, J. Comput. Appl. Math. 403, Article ID 113821, 19 p. (2022; Zbl 1476.65024) Full Text: DOI arXiv OpenURL
Ismailov, Vugar E. Ridge functions and applications in neural networks. (English) Zbl 07498870 Mathematical Surveys and Monographs 263. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6765-4/pbk; 978-1-4704-6800-2/ebook). ix, 186 p. (2021). Reviewer: Bilal Bilalov (Baku) MSC: 26-02 26B40 39B22 41A30 41A50 41A63 92-01 92B20 PDF BibTeX XML Cite \textit{V. E. Ismailov}, Ridge functions and applications in neural networks. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 07498870) Full Text: DOI OpenURL
Lspir, Nurhayat; Deo, Naokant; Bhardwaj, Neha Approximation of jain operators by statistical convergence. (English) Zbl 07489151 Thai J. Math. 19, No. 4, 1187-1197 (2021). MSC: 41A10 41A25 41A30 41A63 26A15 PDF BibTeX XML Cite \textit{N. Lspir} et al., Thai J. Math. 19, No. 4, 1187--1197 (2021; Zbl 07489151) Full Text: Link OpenURL
Babayev, Arzu M-B.; Maharov, Ibrahim K. On the error of approximation by RBF neural networks with two hidden nodes. (English) Zbl 07487928 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 226-231 (2021). MSC: 41A30 41A63 92B20 PDF BibTeX XML Cite \textit{A. M B. Babayev} and \textit{I. K. Maharov}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 226--231 (2021; Zbl 07487928) Full Text: DOI OpenURL
Yanchenko, S. Ya.; Radchenko, O. Ya. Approximation characteristics of the isotropic Nikol’skii-Besov functional classes. (English) Zbl 07482118 Carpathian Math. Publ. 13, No. 3, 851-861 (2021). MSC: 41A30 41A50 41A63 42A38 PDF BibTeX XML Cite \textit{S. Ya. Yanchenko} and \textit{O. Ya. Radchenko}, Carpathian Math. Publ. 13, No. 3, 851--861 (2021; Zbl 07482118) Full Text: DOI OpenURL
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S. Sampling discretization of integral norms. (English) Zbl 1480.65060 Constr. Approx. 54, No. 3, 455-471 (2021). MSC: 65D30 42A05 41A63 PDF BibTeX XML Cite \textit{F. Dai} et al., Constr. Approx. 54, No. 3, 455--471 (2021; Zbl 1480.65060) Full Text: DOI arXiv OpenURL
Amir, Anat; Levin, David Reconstructing piecewise smooth bivariate functions from scattered data. (English) Zbl 07457038 Jaen J. Approx. 12, 155-173 (2021). MSC: 41A05 41A63 PDF BibTeX XML Cite \textit{A. Amir} and \textit{D. Levin}, Jaen J. Approx. 12, 155--173 (2021; Zbl 07457038) Full Text: Link OpenURL
Navascués, M. A.; Viswanathan, P. Bivariate nonlinear fractal approximation in Lebesgue spaces. (English) Zbl 07457034 Jaen J. Approx. 12, 41-68 (2021). Reviewer: Peter Massopust (München) MSC: 28A80 41A05 41A63 47H14 47J25 PDF BibTeX XML Cite \textit{M. A. Navascués} and \textit{P. Viswanathan}, Jaen J. Approx. 12, 41--68 (2021; Zbl 07457034) Full Text: Link OpenURL
Berdysheva, E. E.; Mehmonzoda, S. N.; Shabozov, M. Sh. Approximation of functions of several variables by continuous linear splines on rectilinear grids. (English) Zbl 07457032 Jaen J. Approx. 12, 1-23 (2021). MSC: 41A15 41A28 41A63 PDF BibTeX XML Cite \textit{E. E. Berdysheva} et al., Jaen J. Approx. 12, 1--23 (2021; Zbl 07457032) Full Text: Link OpenURL
Potts, Daniel; Schmischke, Michael Interpretable approximation of high-dimensional data. (English) Zbl 1476.65023 SIAM J. Math. Data Sci. 3, No. 4, 1301-1323 (2021). MSC: 65D15 41A55 41A63 42B05 62J10 65T40 65T50 PDF BibTeX XML Cite \textit{D. Potts} and \textit{M. Schmischke}, SIAM J. Math. Data Sci. 3, No. 4, 1301--1323 (2021; Zbl 1476.65023) Full Text: DOI arXiv OpenURL
Kashpur, O. F. Conditions for the solvability of nonlinear equations systems in Euclidean spaces. (Ukrainian. English summary) Zbl 07450259 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 1, 74-80 (2021). MSC: 41A05 41A63 PDF BibTeX XML Cite \textit{O. F. Kashpur}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 1, 74--80 (2021; Zbl 07450259) Full Text: DOI OpenURL
Cuong, N. M. Adaptive sampling recovery and nonlinear approximations of multivariate functions in Besov-type spaces. (English) Zbl 07449408 Southeast Asian Bull. Math. 45, No. 4, 461-482 (2021). MSC: 41A46 41A25 41A63 PDF BibTeX XML Cite \textit{N. M. Cuong}, Southeast Asian Bull. Math. 45, No. 4, 461--482 (2021; Zbl 07449408) OpenURL
Segeth, Karel Data approximation using polyharmonic radial basis functions. (English) Zbl 07447617 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 129-138 (2021). MSC: 65D07 65D12 65D10 41A63 PDF BibTeX XML Cite \textit{K. Segeth}, in: Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21--26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 129--138 (2021; Zbl 07447617) Full Text: DOI OpenURL
Moeller, Moritz; Ullrich, Tino \(L_2\)-norm sampling discretization and recovery of functions from RKHS with finite trace. (English) Zbl 07444768 Sampl. Theory Signal Process. Data Anal. 19, No. 2, Paper No. 13, 31 p. (2021). MSC: 41A25 41A60 41A63 68Q25 94A20 PDF BibTeX XML Cite \textit{M. Moeller} and \textit{T. Ullrich}, Sampl. Theory Signal Process. Data Anal. 19, No. 2, Paper No. 13, 31 p. (2021; Zbl 07444768) Full Text: DOI arXiv OpenURL
Azaïez, M.; Chacón Rebollo, T.; Gómez Mármol, M.; Perracchione, E.; Rincón Casado, A.; Vega, J. M. Data-driven reduced order modeling based on tensor decompositions and its application to air-wall heat transfer in buildings. (English) Zbl 1476.65059 S\(\vec{\text{e}}\)MA J. 78, No. 2, 213-232 (2021). MSC: 65F25 41A63 80A19 PDF BibTeX XML Cite \textit{M. Azaïez} et al., S\(\vec{\text{e}}\)MA J. 78, No. 2, 213--232 (2021; Zbl 1476.65059) Full Text: DOI OpenURL
Esmaeili, H.; Mirzaee, F.; Moazami, D. A discrete collocation scheme to solve Fredholm integral equations of the second kind in high dimensions using radial kernels. (English) Zbl 1476.65339 S\(\vec{\text{e}}\)MA J. 78, No. 1, 93-117 (2021). MSC: 65R20 45A05 45B05 41A63 PDF BibTeX XML Cite \textit{H. Esmaeili} et al., S\(\vec{\text{e}}\)MA J. 78, No. 1, 93--117 (2021; Zbl 1476.65339) Full Text: DOI OpenURL
Hakopian, H. A.; Kloyan, H. M.; Voskanyan, D. S. On plane algebraic curves passing through \(n\)-independent nodes. (English) Zbl 1481.41001 J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 5, 280-294 (2021) and Izv. Nats. Akad. Nauk 56, No. 5, 37-60 (2021). MSC: 41A05 14H50 41A63 PDF BibTeX XML Cite \textit{H. A. Hakopian} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 5, 280--294 (2021; Zbl 1481.41001) Full Text: DOI arXiv OpenURL
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni Worst-case recovery guarantees for least squares approximation using random samples. (English) Zbl 07424766 Constr. Approx. 54, No. 2, 295-352 (2021). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 41A10 41A25 41A55 41A60 41A63 42A10 62J02 65D32 68W40 94A20 PDF BibTeX XML Cite \textit{L. Kämmerer} et al., Constr. Approx. 54, No. 2, 295--352 (2021; Zbl 07424766) Full Text: DOI arXiv OpenURL
Nobile, Fabio; Pradovera, Davide Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. (English) Zbl 07420192 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895-1920 (2021). MSC: 65-XX 35B30 35P15 41A20 41A63 93C35 93C80 PDF BibTeX XML Cite \textit{F. Nobile} and \textit{D. Pradovera}, ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895--1920 (2021; Zbl 07420192) Full Text: DOI arXiv OpenURL
Zhang, Jie A note on EC-tractability of multivariate approximation in weighted Korobov spaces for the standard information class. (English) Zbl 07418850 J. Complexity 67, Article ID 101573, 16 p. (2021). MSC: 41A63 65Y20 68Q25 PDF BibTeX XML Cite \textit{J. Zhang}, J. Complexity 67, Article ID 101573, 16 p. (2021; Zbl 07418850) Full Text: DOI OpenURL
Ebert, Adrian; Pillichshammer, Friedrich Tractability of approximation in the weighted Korobov space in the worst-case setting – a complete picture. (English) Zbl 07418848 J. Complexity 67, Article ID 101571, 15 p. (2021). MSC: 65D15 65Y20 41A25 41A63 PDF BibTeX XML Cite \textit{A. Ebert} and \textit{F. Pillichshammer}, J. Complexity 67, Article ID 101571, 15 p. (2021; Zbl 07418848) Full Text: DOI arXiv OpenURL
Viswanathan, P. A fractal version of a bivariate Hermite polynomial interpolation. (English) Zbl 1481.41002 Mediterr. J. Math. 18, No. 5, Paper No. 225, 15 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 28A80 41A15 41A63 PDF BibTeX XML Cite \textit{P. Viswanathan}, Mediterr. J. Math. 18, No. 5, Paper No. 225, 15 p. (2021; Zbl 1481.41002) Full Text: DOI OpenURL
Ehler, Martin; Etayo, Ujué; Gariboldi, Bianca; Gigante, Giacomo; Peter, Thomas Asymptotically optimal cubature formulas on manifolds for prefixed weights. (English) Zbl 1480.41009 J. Approx. Theory 271, Article ID 105632, 24 p. (2021). MSC: 41A55 41A63 52C35 PDF BibTeX XML Cite \textit{M. Ehler} et al., J. Approx. Theory 271, Article ID 105632, 24 p. (2021; Zbl 1480.41009) Full Text: DOI arXiv OpenURL
Xu, Yuan Approximation and localized polynomial frame on conic domains. (English) Zbl 07412901 J. Funct. Anal. 281, No. 12, Article ID 109257, 94 p. (2021). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A10 41A63 42C10 42C40 PDF BibTeX XML Cite \textit{Y. Xu}, J. Funct. Anal. 281, No. 12, Article ID 109257, 94 p. (2021; Zbl 07412901) Full Text: DOI arXiv OpenURL
Potts, Daniel; Schmischke, Michael Approximation of high-dimensional periodic functions with Fourier-based methods. (English) Zbl 1476.65022 SIAM J. Numer. Anal. 59, No. 5, 2393-2429 (2021). MSC: 65D15 42B05 41A55 41A63 62J10 65T40 65T50 PDF BibTeX XML Cite \textit{D. Potts} and \textit{M. Schmischke}, SIAM J. Numer. Anal. 59, No. 5, 2393--2429 (2021; Zbl 1476.65022) Full Text: DOI arXiv OpenURL
Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun Deep network approximation for smooth functions. (English) Zbl 07407717 SIAM J. Math. Anal. 53, No. 5, 5465-5506 (2021). MSC: 68Txx 41A25 41A63 PDF BibTeX XML Cite \textit{J. Lu} et al., SIAM J. Math. Anal. 53, No. 5, 5465--5506 (2021; Zbl 07407717) Full Text: DOI arXiv OpenURL
Krieg, David; Ullrich, Mario Function values are enough for \(L_2\)-approximation. (English) Zbl 1481.41014 Found. Comput. Math. 21, No. 4, 1141-1151 (2021). MSC: 41A46 41A25 41A63 46E35 60B20 PDF BibTeX XML Cite \textit{D. Krieg} and \textit{M. Ullrich}, Found. Comput. Math. 21, No. 4, 1141--1151 (2021; Zbl 1481.41014) Full Text: DOI arXiv OpenURL
Nguyen Quang Dieu; Phung Van Manh On generalized least power approximation. (English) Zbl 1479.41007 Math. Inequal. Appl. 24, No. 3, 695-713 (2021). MSC: 41A10 41A63 41A65 PDF BibTeX XML Cite \textit{Nguyen Quang Dieu} and \textit{Phung Van Manh}, Math. Inequal. Appl. 24, No. 3, 695--713 (2021; Zbl 1479.41007) Full Text: DOI OpenURL
Kolomoitsev, Yurii; Tikhonov, Sergey Hardy-Littlewood and Ulyanov inequalities. (English) Zbl 07403469 Memoirs of the American Mathematical Society 1325. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4758-8/pbk; 978-1-4704-6628-2/ebook). viii, 118 p. (2021). MSC: 41-02 41A63 42B15 26D10 46E35 26A33 41A17 26C05 41A10 PDF BibTeX XML Cite \textit{Y. Kolomoitsev} and \textit{S. Tikhonov}, Hardy-Littlewood and Ulyanov inequalities. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 07403469) Full Text: DOI arXiv OpenURL
San Antolín, A. Density order of Parseval wavelet frames from extension principles. (English) Zbl 1481.42041 J. Approx. Theory 270, Article ID 105617, 14 p. (2021). Reviewer: Hans-Georg Stark (Aschaffenburg) MSC: 42C15 42C40 41A45 41A25 41A63 41A65 PDF BibTeX XML Cite \textit{A. San Antolín}, J. Approx. Theory 270, Article ID 105617, 14 p. (2021; Zbl 1481.42041) Full Text: DOI OpenURL
Oswald, P. Multivariate Haar systems in Besov function spaces. (English. Russian original) Zbl 1479.42095 Sb. Math. 212, No. 6, 810-842 (2021); translation from Mat. Sb. 212, No. 6, 73-108 (2021). Reviewer: Qiao-Fang Lian (Beijing) MSC: 42C40 42C10 46E35 41A15 41A63 PDF BibTeX XML Cite \textit{P. Oswald}, Sb. Math. 212, No. 6, 810--842 (2021; Zbl 1479.42095); translation from Mat. Sb. 212, No. 6, 73--108 (2021) Full Text: DOI arXiv OpenURL
Stromberg, Marc Sinc methods on polyhedra. (English) Zbl 1479.41014 Baumann, Gerd (ed.), New sinc methods of numerical analysis. Festschrift in honor of Frank Stenger’s 80th birthday. Based on the presentations at the symposium, Rhodes, Greece, September 13–18, 2018. Cham: Birkhäuser. Trends Math., 163-224 (2021). MSC: 41A30 41A63 42C10 65D15 PDF BibTeX XML Cite \textit{M. Stromberg}, in: New sinc methods of numerical analysis. Festschrift in honor of Frank Stenger's 80th birthday. Based on the presentations at the symposium, Rhodes, Greece, September 13--18, 2018. Cham: Birkhäuser. 163--224 (2021; Zbl 1479.41014) Full Text: DOI OpenURL
Stangeby, Ivar; Dokken, Tor Properties of spline spaces over structured hierarchical box partitions. (English) Zbl 1469.41002 van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 177-207 (2021). MSC: 41A15 41A63 65D07 65D17 PDF BibTeX XML Cite \textit{I. Stangeby} and \textit{T. Dokken}, Lect. Notes Comput. Sci. Eng. 133, 177--207 (2021; Zbl 1469.41002) Full Text: DOI arXiv OpenURL
Krieg, David; Ullrich, Mario Function values are enough for \(L_2\)-approximation. II. (English) Zbl 1475.41006 J. Complexity 66, Article ID 101569, 14 p. (2021). MSC: 41A25 41A63 41A65 60B20 68Q25 PDF BibTeX XML Cite \textit{D. Krieg} and \textit{M. Ullrich}, J. Complexity 66, Article ID 101569, 14 p. (2021; Zbl 1475.41006) Full Text: DOI OpenURL
Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk; Osisiogu, Onyekachi Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. (English) Zbl 1481.65044 J. Complexity 66, Article ID 101555, 37 p. (2021). MSC: 65D30 65D32 65C05 41A55 41A63 PDF BibTeX XML Cite \textit{A. Ebert} et al., J. Complexity 66, Article ID 101555, 37 p. (2021; Zbl 1481.65044) Full Text: DOI arXiv OpenURL
McKinley, Tom; Shekhtman, Boris On the gradient conjecture for quadratic polynomials. (English) Zbl 1479.41006 Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 171-179 (2021). MSC: 41A10 41A63 PDF BibTeX XML Cite \textit{T. McKinley} and \textit{B. Shekhtman}, Springer Proc. Math. Stat. 336, 171--179 (2021; Zbl 1479.41006) Full Text: DOI OpenURL
Huang, Meng; Lai, Ming-Jun; Varghese, Abraham; Xu, Zhiqiang On DC based methods for phase retrieval. (English) Zbl 1481.94054 Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 87-121 (2021). MSC: 94A12 41A63 PDF BibTeX XML Cite \textit{M. Huang} et al., Springer Proc. Math. Stat. 336, 87--121 (2021; Zbl 1481.94054) Full Text: DOI arXiv OpenURL
Agrawal, P. N.; Kajla, Arun; Kumar, Dharmendra Modified \(\rho\)-Bernstein operators for functions of two variables. (English) Zbl 1471.41010 Numer. Funct. Anal. Optim. 42, No. 9, 1073-1095 (2021). MSC: 41A36 41A10 41A25 41A63 PDF BibTeX XML Cite \textit{P. N. Agrawal} et al., Numer. Funct. Anal. Optim. 42, No. 9, 1073--1095 (2021; Zbl 1471.41010) Full Text: DOI OpenURL
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana Nonlinear methods for model reduction. (English) Zbl 1476.41004 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 507-531 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 41A10 41A58 41A63 65N15 PDF BibTeX XML Cite \textit{A. Bonito} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 2, 507--531 (2021; Zbl 1476.41004) Full Text: DOI arXiv OpenURL
Montano, Mirella Cappelletti; Leonessa, Vita; Persson, Lars-Erik Francesco Altomare – the remarkable mathematician and human being. (English) Zbl 07381513 Constr. Math. Anal. 4, No. 1, 1-19 (2021). MSC: 01A99 31C99 41A25 41A63 46E05 47D06 47D07 PDF BibTeX XML Cite \textit{M. C. Montano} et al., Constr. Math. Anal. 4, No. 1, 1--19 (2021; Zbl 07381513) Full Text: DOI OpenURL
Malachivskyy, P. S.; Melnychok, L. S.; Pizyur, Ya. V. Chebyshev approximation of multivariable functions by the exponential expression. (English. Ukrainian original) Zbl 1470.41031 Cybern. Syst. Anal. 57, No. 3, 429-435 (2021); translation from Kibern. Sist. Anal. 57, No. 3, 106-113 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A10 65D15 PDF BibTeX XML Cite \textit{P. S. Malachivskyy} et al., Cybern. Syst. Anal. 57, No. 3, 429--435 (2021; Zbl 1470.41031); translation from Kibern. Sist. Anal. 57, No. 3, 106--113 (2021) Full Text: DOI OpenURL
Arestov, V. V.; Seleznev, A. A. Best \(L^2\)-extension of algebraic polynomials from the unit Euclidean sphere to a concentric sphere. (English. Russian original) Zbl 1470.41030 Proc. Steklov Inst. Math. 313, Suppl. 1, S6-S13 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 2, 47-55 (2020). MSC: 41A63 26C05 PDF BibTeX XML Cite \textit{V. V. Arestov} and \textit{A. A. Seleznev}, Proc. Steklov Inst. Math. 313, S6--S13 (2021; Zbl 1470.41030); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 2, 47--55 (2020) Full Text: DOI OpenURL
Bressan, Andrea; Lyche, Tom Local approximation from spline spaces on box meshes. (English) Zbl 1469.41001 Found. Comput. Math. 21, No. 3, 807-848 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 41A63 PDF BibTeX XML Cite \textit{A. Bressan} and \textit{T. Lyche}, Found. Comput. Math. 21, No. 3, 807--848 (2021; Zbl 1469.41001) Full Text: DOI OpenURL
Zaitseva, T. I.; Malykhin, Yu. V.; Ryutin, K. S. On recovery of regular ridge functions. (English. Russian original) Zbl 1469.41014 Math. Notes 109, No. 2, 307-311 (2021); translation from Mat. Zametki 109, No. 2, 307-311 (2021). MSC: 41A63 PDF BibTeX XML Cite \textit{T. I. Zaitseva} et al., Math. Notes 109, No. 2, 307--311 (2021; Zbl 1469.41014); translation from Mat. Zametki 109, No. 2, 307--311 (2021) Full Text: DOI OpenURL
Kreuzer, Christian; Veeser, Andreas Oscillation in a posteriori error estimation. (English) Zbl 1477.65226 Numer. Math. 148, No. 1, 43-78 (2021). MSC: 65N30 65N15 65N12 65N50 41A05 41A63 35B05 PDF BibTeX XML Cite \textit{C. Kreuzer} and \textit{A. Veeser}, Numer. Math. 148, No. 1, 43--78 (2021; Zbl 1477.65226) Full Text: DOI arXiv OpenURL
Bacchelli, Barbara; Rossini, Milvia On MRAs and prewavelets based on elliptic splines. (English) Zbl 1470.42061 Result. Math. 76, No. 1, Paper No. 40, 29 p. (2021). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 41A15 41A63 PDF BibTeX XML Cite \textit{B. Bacchelli} and \textit{M. Rossini}, Result. Math. 76, No. 1, Paper No. 40, 29 p. (2021; Zbl 1470.42061) Full Text: DOI OpenURL
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S. Entropy numbers and Marcinkiewicz-type discretization. (English) Zbl 1469.41013 J. Funct. Anal. 281, No. 6, Article ID 109090, 25 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A46 42B10 46B20 PDF BibTeX XML Cite \textit{F. Dai} et al., J. Funct. Anal. 281, No. 6, Article ID 109090, 25 p. (2021; Zbl 1469.41013) Full Text: DOI arXiv OpenURL
Prymak, A. Geometric computation of Christoffel functions on planar convex domains. (English) Zbl 1469.42028 J. Approx. Theory 268, Article ID 105603, 13 p. (2021). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42C05 41A17 41A63 26D05 42B99 PDF BibTeX XML Cite \textit{A. Prymak}, J. Approx. Theory 268, Article ID 105603, 13 p. (2021; Zbl 1469.42028) Full Text: DOI arXiv OpenURL
Kroó, András Sharp \(L_p\) Bernstein type inequality for cuspidal domains in \(\mathbb{R}^d\). (English) Zbl 1468.41006 J. Approx. Theory 267, Article ID 105593, 11 p. (2021). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A17 41A63 PDF BibTeX XML Cite \textit{A. Kroó}, J. Approx. Theory 267, Article ID 105593, 11 p. (2021; Zbl 1468.41006) Full Text: DOI OpenURL
Dolgov, Sergey; Kressner, Daniel; Strössner, Christoph Functional Tucker approximation using Chebyshev interpolation. (English) Zbl 07364352 SIAM J. Sci. Comput. 43, No. 3, A2190-A2210 (2021). MSC: 65-XX 41A10 41A63 65D15 PDF BibTeX XML Cite \textit{S. Dolgov} et al., SIAM J. Sci. Comput. 43, No. 3, A2190--A2210 (2021; Zbl 07364352) Full Text: DOI arXiv OpenURL
Yomdin, Y. “Smooth rigidity” and Remez-type inequalities. (English) Zbl 1466.41007 Anal. Math. Phys. 11, No. 2, Paper No. 89, 11 p. (2021). MSC: 41A17 41A63 PDF BibTeX XML Cite \textit{Y. Yomdin}, Anal. Math. Phys. 11, No. 2, Paper No. 89, 11 p. (2021; Zbl 1466.41007) Full Text: DOI arXiv OpenURL
Segeth, Karel Multivariate data fitting using polyharmonic splines. (English) Zbl 1466.65017 J. Comput. Appl. Math. 397, Article ID 113651, 11 p. (2021). MSC: 65D10 65D07 41A63 41A15 42B10 PDF BibTeX XML Cite \textit{K. Segeth}, J. Comput. Appl. Math. 397, Article ID 113651, 11 p. (2021; Zbl 1466.65017) Full Text: DOI OpenURL
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk Function integration, reconstruction and approximation using rank-\(1\) lattices. (English) Zbl 1466.42002 Math. Comput. 90, No. 330, 1861-1897 (2021). MSC: 42A10 41A10 41A63 65D30 65D32 65D15 PDF BibTeX XML Cite \textit{F. Y. Kuo} et al., Math. Comput. 90, No. 330, 1861--1897 (2021; Zbl 1466.42002) Full Text: DOI arXiv OpenURL
Voskanyan, D. On a scale of criteria on \(n\)-dependence. (English) Zbl 1466.41004 J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 1, 5-8 (2021) and Izv. Nats. Akad. Nauk Armen., Mat. 56, No. 1, 10-15 (2021). MSC: 41A05 41A63 14H50 51N15 PDF BibTeX XML Cite \textit{D. Voskanyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 1, 5--8 (2021; Zbl 1466.41004) Full Text: DOI arXiv OpenURL
Rodriguez Bazan, Erick; Hubert, Evelyne Multivariate interpolation: preserving and exploiting symmetry. (English) Zbl 1479.41002 J. Symb. Comput. 107, 1-22 (2021). MSC: 41A05 41A63 13P10 PDF BibTeX XML Cite \textit{E. Rodriguez Bazan} and \textit{E. Hubert}, J. Symb. Comput. 107, 1--22 (2021; Zbl 1479.41002) Full Text: DOI OpenURL
Zakharov, Victor G. Reproducing fractional monomials: weakening of the Strang-Fix conditions. (English) Zbl 1466.41006 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 2, Article ID 2050068, 17 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 26A33 41A63 42A38 65D07 PDF BibTeX XML Cite \textit{V. G. Zakharov}, Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 2, Article ID 2050068, 17 p. (2021; Zbl 1466.41006) Full Text: DOI arXiv OpenURL
Bezuglyi, Sergey; Jorgensen, Palle E. T. Harmonic analysis invariants for infinite graphs via operators and algorithms. (English) Zbl 1462.05261 J. Fourier Anal. Appl. 27, No. 2, Paper No. 34, 46 p. (2021). MSC: 05C63 05C82 37B10 41A63 42B37 47L50 60J45 PDF BibTeX XML Cite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, J. Fourier Anal. Appl. 27, No. 2, Paper No. 34, 46 p. (2021; Zbl 1462.05261) Full Text: DOI arXiv OpenURL
Subbotin, Yu. N.; Baidakova, N. V. Approximation of the derivatives of a function in Lagrange interpolation on low-dimensional simplices. (English. Russian original) Zbl 1464.41001 Proc. Steklov Inst. Math. 312, 261-269 (2021); translation from Tr. Mat. Inst. Steklova 312, 272-281 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 PDF BibTeX XML Cite \textit{Yu. N. Subbotin} and \textit{N. V. Baidakova}, Proc. Steklov Inst. Math. 312, 261--269 (2021; Zbl 1464.41001); translation from Tr. Mat. Inst. Steklova 312, 272--281 (2021) Full Text: DOI OpenURL
Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel Stability properties of disk polynomials. (English) Zbl 1464.41002 Numer. Algorithms 87, No. 1, 119-135 (2021). Reviewer: Devendra Kumar (Al-Baha) MSC: 41A10 33C50 41A63 65F35 PDF BibTeX XML Cite \textit{J. M. Carnicer} et al., Numer. Algorithms 87, No. 1, 119--135 (2021; Zbl 1464.41002) Full Text: DOI OpenURL
Dong, Jianwei; Xue, Hongxia; Wang, Yanping Formation of singularities of solutions to the IBVP of the Euler-Boltzmann equations. (English) Zbl 1467.35248 J. Evol. Equ. 21, No. 1, 225-233 (2021). MSC: 35Q31 35Q20 76N10 35R09 35B44 35B65 41A63 78A40 PDF BibTeX XML Cite \textit{J. Dong} et al., J. Evol. Equ. 21, No. 1, 225--233 (2021; Zbl 1467.35248) Full Text: DOI OpenURL
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana Polynomial approximation of anisotropic analytic functions of several variables. (English) Zbl 1462.41003 Constr. Approx. 53, No. 2, 319-348 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A58 41A63 65N15 PDF BibTeX XML Cite \textit{A. Bonito} et al., Constr. Approx. 53, No. 2, 319--348 (2021; Zbl 1462.41003) Full Text: DOI arXiv OpenURL
Kolomoitsev, Yu.; Skopina, M. Quasi-projection operators in weighted \(L_p\) spaces. (English) Zbl 1460.41015 Appl. Comput. Harmon. Anal. 52, 165-197 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A58 41A25 41A63 94A12 PDF BibTeX XML Cite \textit{Yu. Kolomoitsev} and \textit{M. Skopina}, Appl. Comput. Harmon. Anal. 52, 165--197 (2021; Zbl 1460.41015) Full Text: DOI arXiv OpenURL
Irigoyen, Amadeo Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation. (English) Zbl 1460.41002 J. Approx. Theory 264, Article ID 105540, 21 p. (2021). Reviewer: Kai Diethelm (Schweinfurt) MSC: 41A05 41A63 PDF BibTeX XML Cite \textit{A. Irigoyen}, J. Approx. Theory 264, Article ID 105540, 21 p. (2021; Zbl 1460.41002) Full Text: DOI arXiv OpenURL
Jeong, Byeongseon; Yang, Hyoseon; Yoon, Jungho A non-uniform corner-cutting subdivision scheme with an improved accuracy. (English) Zbl 1459.41002 J. Comput. Appl. Math. 391, Article ID 113446, 12 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A63 65D17 65D15 PDF BibTeX XML Cite \textit{B. Jeong} et al., J. Comput. Appl. Math. 391, Article ID 113446, 12 p. (2021; Zbl 1459.41002) Full Text: DOI arXiv OpenURL
Nasdala, Robert; Potts, Daniel Efficient multivariate approximation on the cube. (English) Zbl 1464.65294 Numer. Math. 147, No. 2, 393-429 (2021). MSC: 65D15 41A63 65T40 65T50 42B05 PDF BibTeX XML Cite \textit{R. Nasdala} and \textit{D. Potts}, Numer. Math. 147, No. 2, 393--429 (2021; Zbl 1464.65294) Full Text: DOI arXiv OpenURL
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. (English) Zbl 1470.46058 J. Complexity 63, Article ID 101523, 38 p. (2021). MSC: 46E35 47B06 41A63 PDF BibTeX XML Cite \textit{T. Kühn} et al., J. Complexity 63, Article ID 101523, 38 p. (2021; Zbl 1470.46058) Full Text: DOI arXiv OpenURL
Doerr, Benjamin; Mayer, Sebastian The recovery of ridge functions on the hypercube suffers from the curse of dimensionality. (English) Zbl 1460.65014 J. Complexity 63, Article ID 101521, 30 p. (2021). MSC: 65D15 65Y20 41A30 41A63 PDF BibTeX XML Cite \textit{B. Doerr} and \textit{S. Mayer}, J. Complexity 63, Article ID 101521, 30 p. (2021; Zbl 1460.65014) Full Text: DOI arXiv OpenURL
Xia, Yu; Li, Song Signal separation under coherent dictionaries and \(\ell_p\)-bounded noise. (English) Zbl 1458.94146 J. Approx. Theory 263, Article ID 105524, 23 p. (2021). MSC: 94A12 94A15 94A08 68P30 41A63 15B52 42C15 PDF BibTeX XML Cite \textit{Y. Xia} and \textit{S. Li}, J. Approx. Theory 263, Article ID 105524, 23 p. (2021; Zbl 1458.94146) Full Text: DOI OpenURL
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. (English) Zbl 1458.65018 J. Approx. Theory 262, Article ID 105508, 31 p. (2021). MSC: 65D15 41A30 41A63 PDF BibTeX XML Cite \textit{T. Wenzel} et al., J. Approx. Theory 262, Article ID 105508, 31 p. (2021; Zbl 1458.65018) Full Text: DOI arXiv OpenURL
Sun, Xingping; Wu, Zongmin; Zhou, Xuan On probabilistic convergence rates of stochastic Bernstein polynomials. (English) Zbl 1457.62245 Math. Comput. 90, No. 328, 813-830 (2021). MSC: 62L20 41A25 41A63 42B08 60H30 PDF BibTeX XML Cite \textit{X. Sun} et al., Math. Comput. 90, No. 328, 813--830 (2021; Zbl 1457.62245) Full Text: DOI OpenURL
Cools, Ronald; Kuo, Frances Y.; Nuyens, Dirk; Sloan, Ian H. Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. (English) Zbl 1456.65016 Math. Comput. 90, No. 328, 787-812 (2021). MSC: 65D30 65D15 65T40 41A10 41A15 41A63 PDF BibTeX XML Cite \textit{R. Cools} et al., Math. Comput. 90, No. 328, 787--812 (2021; Zbl 1456.65016) Full Text: DOI arXiv OpenURL
Dick, Josef; Goda, Takashi Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm. (English) Zbl 07241392 J. Comput. Appl. Math. 382, Article ID 113062, 15 p. (2021). MSC: 65C05 41A55 41A63 65D30 65D32 11K38 PDF BibTeX XML Cite \textit{J. Dick} and \textit{T. Goda}, J. Comput. Appl. Math. 382, Article ID 113062, 15 p. (2021; Zbl 07241392) Full Text: DOI arXiv OpenURL
Adcock, Ben; Cardenas, Juan M. Near-optimal sampling strategies for multivariate function approximation on general domains. (English) Zbl 07482307 SIAM J. Math. Data Sci. 2, No. 3, 607-630 (2020). MSC: 41A63 41A10 41A17 65C05 PDF BibTeX XML Cite \textit{B. Adcock} and \textit{J. M. Cardenas}, SIAM J. Math. Data Sci. 2, No. 3, 607--630 (2020; Zbl 07482307) Full Text: DOI arXiv OpenURL
Ahmed, Talal; Raja, Haroon; Bajwa, Waheed U. Tensor regression using low-rank and sparse Tucker decompositions. (English) Zbl 07482293 SIAM J. Math. Data Sci. 2, No. 4, 944-966 (2020). MSC: 41A52 41A63 62F10 62J05 PDF BibTeX XML Cite \textit{T. Ahmed} et al., SIAM J. Math. Data Sci. 2, No. 4, 944--966 (2020; Zbl 07482293) Full Text: DOI arXiv OpenURL
Guven, Ali Trigonometric approximation on the hexagon. (English) Zbl 07473693 J. Numer. Anal. Approx. Theory 49, No. 2, 138-154 (2020). MSC: 41A25 41A63 42B08 PDF BibTeX XML Cite \textit{A. Guven}, J. Numer. Anal. Approx. Theory 49, No. 2, 138--154 (2020; Zbl 07473693) OpenURL
Mursaleen, M.; Ahasan, Mohd.; Ansari, K. J. Bivariate Bernstein-Schurer-Stancu type GBS operators in \((p,q)\)-analogue. (English) Zbl 1482.41018 Adv. Difference Equ. 2020, Paper No. 76, 17 p. (2020). MSC: 41A36 41A25 41A10 41A35 41A63 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., Adv. Difference Equ. 2020, Paper No. 76, 17 p. (2020; Zbl 1482.41018) Full Text: DOI OpenURL
Adcock, Ben; Brugiapaglia, Simone Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit. (English) Zbl 07437831 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 611-621 (2020). MSC: 41A63 41A81 PDF BibTeX XML Cite \textit{B. Adcock} and \textit{S. Brugiapaglia}, Lect. Notes Comput. Sci. Eng. 134, 611--621 (2020; Zbl 07437831) Full Text: DOI arXiv OpenURL
Bazarkhanov, Dauren B. Optimal numerical integration on classes of smooth functions in several variables. (English) Zbl 07406174 Mat. Zh. 20, No. 3, 101-110 (2020). MSC: 42B35 41A63 65D30 PDF BibTeX XML Cite \textit{D. B. Bazarkhanov}, Mat. Zh. 20, No. 3, 101--110 (2020; Zbl 07406174) OpenURL
Bachmayr, Markus; Dahmen, Wolfgang Adaptive low-rank approximations for operator equations: accuracy control and computational complexity. (English) Zbl 1478.65105 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 1-44 (2020). MSC: 65N12 41A46 41A63 42C10 65F08 65L70 65J10 65N15 PDF BibTeX XML Cite \textit{M. Bachmayr} and \textit{W. Dahmen}, Contemp. Math. 754, 1--44 (2020; Zbl 1478.65105) Full Text: DOI arXiv OpenURL
Kolomoitsev, Yu. S.; Tikhonov, S. Yu. Smoothness of functions versus smoothness of approximation processes. (English) Zbl 1469.41015 Bull. Math. Sci. 10, No. 3, Article ID 2030002, 57 p. (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 41A10 41A15 41A63 42A45 42B25 PDF BibTeX XML Cite \textit{Yu. S. Kolomoitsev} and \textit{S. Yu. Tikhonov}, Bull. Math. Sci. 10, No. 3, Article ID 2030002, 57 p. (2020; Zbl 1469.41015) Full Text: DOI arXiv OpenURL
Karahan, Döne; Izgi, Aydın Approximation of \(B\)-continuous and \(B\)-differentiable functions by GBS operators of Bernstein-Kantorovich operators of two variables. (English) Zbl 1466.41012 J. Contemp. Appl. Math. 10, No. 2, 14-28 (2020). MSC: 41A36 41A10 41A25 41A63 PDF BibTeX XML Cite \textit{D. Karahan} and \textit{A. Izgi}, J. Contemp. Appl. Math. 10, No. 2, 14--28 (2020; Zbl 1466.41012) Full Text: Link OpenURL
E, Weinan; Ma, Chao; Wang, Qingcan Rademacher complexity and the generalization error of residual networks. (English) Zbl 1467.62158 Commun. Math. Sci. 18, No. 6, 1755-1774 (2020). MSC: 62M45 62J02 41A46 41A63 68T07 PDF BibTeX XML Cite \textit{W. E} et al., Commun. Math. Sci. 18, No. 6, 1755--1774 (2020; Zbl 1467.62158) Full Text: DOI OpenURL
Garg, Tarul; İspir, Nurhayat; Agrawal, P. N. Bivariate \(q\)-Bernstein-Chlodowsky-Durrmeyer type operators and the associated GBS operators. (English) Zbl 1461.41002 Asian-Eur. J. Math. 13, No. 5, Article ID 2050091, 20 p. (2020). MSC: 41A36 41A17 41A25 41A63 PDF BibTeX XML Cite \textit{T. Garg} et al., Asian-Eur. J. Math. 13, No. 5, Article ID 2050091, 20 p. (2020; Zbl 1461.41002) Full Text: DOI OpenURL
Rieger, Christian; Wendland, Holger Sampling inequalities for anisotropic tensor product grids. (English) Zbl 1466.41016 IMA J. Numer. Anal. 40, No. 1, 285-321 (2020). MSC: 41A63 41A30 PDF BibTeX XML Cite \textit{C. Rieger} and \textit{H. Wendland}, IMA J. Numer. Anal. 40, No. 1, 285--321 (2020; Zbl 1466.41016) Full Text: DOI Link OpenURL