Prats, Martí Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity. (English) Zbl 07797679 J. Approx. Theory 297, Article ID 105985, 39 p. (2024). MSC: 41-XX 42-XX PDFBibTeX XMLCite \textit{M. Prats}, J. Approx. Theory 297, Article ID 105985, 39 p. (2024; Zbl 07797679) Full Text: DOI arXiv
Fanaskov, V. S.; Oseledets, I. V. Spectral neural operators. (English. Russian original) Zbl 07825751 Dokl. Math. 108, Suppl. 2, S226-S232 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 2, 72-79 (2023). MSC: 65N99 65N50 65T50 65T60 65N30 68T07 44A05 41A50 41A60 PDFBibTeX XMLCite \textit{V. S. Fanaskov} and \textit{I. V. Oseledets}, Dokl. Math. 108, S226--S232 (2023; Zbl 07825751); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 2, 72--79 (2023) Full Text: DOI arXiv
Antil, Harbir; Dondl, Patrick W.; Striet, Ludwig Analysis of a sinc-Galerkin method for the fractional Laplacian. (English) Zbl 07778897 SIAM J. Numer. Anal. 61, No. 6, 2967-2993 (2023). MSC: 65N30 65N35 65N12 65N15 41A25 26A33 35R11 PDFBibTeX XMLCite \textit{H. Antil} et al., SIAM J. Numer. Anal. 61, No. 6, 2967--2993 (2023; Zbl 07778897) Full Text: DOI arXiv
Zhong, Min; Hu, Yu Semi-discrete Tikhonov regularization in RKHS with large randomly distributed noise. (English) Zbl 07749163 Inverse Probl. 39, No. 9, Article ID 095005, 23 p. (2023). MSC: 65Jxx 65Dxx 41Axx PDFBibTeX XMLCite \textit{M. Zhong} and \textit{Y. Hu}, Inverse Probl. 39, No. 9, Article ID 095005, 23 p. (2023; Zbl 07749163) Full Text: DOI
Zhang, Baiju; Zhang, Zhimin A new family of nonconforming elements with \(\boldsymbol{H}(\operatorname{curl})\)-continuity for the 3D quad-curl problem. (English) Zbl 1515.65303 Commun. Comput. Phys. 33, No. 4, 1069-1089 (2023). MSC: 65N30 65N15 41A25 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{Z. Zhang}, Commun. Comput. Phys. 33, No. 4, 1069--1089 (2023; Zbl 1515.65303) Full Text: DOI arXiv
Garde, H.; Hyvönen, N.; Kuutela, T. Series reversion for electrical impedance tomography with modeling errors. (English) Zbl 1527.65118 Inverse Probl. 39, No. 8, Article ID 085007, 28 p. (2023). Reviewer: Petr Sváček (Praha) MSC: 65N21 65N30 65N50 65K10 65J20 65N15 62F15 41A58 78A45 78A46 78M10 78M50 35R30 PDFBibTeX XMLCite \textit{H. Garde} et al., Inverse Probl. 39, No. 8, Article ID 085007, 28 p. (2023; Zbl 1527.65118) Full Text: DOI arXiv
Gu, Mingyang; Li, Song; Lin, Junhong Compressed data separation via unconstrained \(l_1\)-split analysis. (English) Zbl 1518.94020 Anal. Appl., Singap. 21, No. 3, 635-649 (2023). Reviewer: Yuehua Wu (Toronto) MSC: 94A12 41A29 65T99 94A20 PDFBibTeX XMLCite \textit{M. Gu} et al., Anal. Appl., Singap. 21, No. 3, 635--649 (2023; Zbl 1518.94020) Full Text: DOI
Cohen, A.; Dolbeault, M.; Mula, O.; Somacal, A. Nonlinear approximation spaces for inverse problems. (English) Zbl 1518.65052 Anal. Appl., Singap. 21, No. 1, 217-253 (2023). MSC: 65J20 65J22 41A65 41A05 PDFBibTeX XMLCite \textit{A. Cohen} et al., Anal. Appl., Singap. 21, No. 1, 217--253 (2023; Zbl 1518.65052) Full Text: DOI arXiv
Zhang, Baiju; Zhang, Zhimin Polynomial preserving recovery and a posteriori error estimates for the two-dimensional quad-curl problem. (English) Zbl 1501.65136 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1323-1341 (2023). MSC: 65N30 65N50 65N15 65N12 41A25 35J05 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{Z. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1323--1341 (2023; Zbl 1501.65136) Full Text: DOI
Korolev, Yury Two-layer neural networks with values in a Banach space. (English) Zbl 07632464 SIAM J. Math. Anal. 54, No. 6, 6358-6389 (2022). MSC: 68Q32 68T07 46E40 41A65 65J22 PDFBibTeX XMLCite \textit{Y. Korolev}, SIAM J. Math. Anal. 54, No. 6, 6358--6389 (2022; Zbl 07632464) Full Text: DOI arXiv
Świderski, Grzegorz; Van Assche, Walter Christoffel functions for multiple orthogonal polynomials. (English) Zbl 1521.33006 J. Approx. Theory 283, Article ID 105820, 22 p. (2022). MSC: 33C45 41A28 42C05 PDFBibTeX XMLCite \textit{G. Świderski} and \textit{W. Van Assche}, J. Approx. Theory 283, Article ID 105820, 22 p. (2022; Zbl 1521.33006) Full Text: DOI arXiv
Jiang, Bing; Ye, Peixin; Zhang, Wenhui Unified error estimate for weak biorthogonal greedy algorithms. (English) Zbl 1517.41014 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250010, 15 p. (2022). MSC: 41A65 41A46 41A50 46B15 46B20 PDFBibTeX XMLCite \textit{B. Jiang} et al., Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250010, 15 p. (2022; Zbl 1517.41014) Full Text: DOI
Garde, Henrik; Hyvönen, Nuutti Series reversion in Calderón’s problem. (English) Zbl 1491.35456 Math. Comput. 91, No. 336, 1925-1953 (2022). MSC: 35R30 35J25 41A58 47H14 65N21 78A45 PDFBibTeX XMLCite \textit{H. Garde} and \textit{N. Hyvönen}, Math. Comput. 91, No. 336, 1925--1953 (2022; Zbl 1491.35456) Full Text: DOI arXiv
Bartel, Felix; Hielscher, Ralf Concentration inequalities for cross-validation in scattered data approximation. (English) Zbl 07501641 J. Approx. Theory 277, Article ID 105715, 17 p. (2022). MSC: 62G08 41A63 62H15 62G05 41A15 PDFBibTeX XMLCite \textit{F. Bartel} and \textit{R. Hielscher}, J. Approx. Theory 277, Article ID 105715, 17 p. (2022; Zbl 07501641) Full Text: DOI arXiv
Amstutz, Samuel; Dapogny, Charles; Ferrer, Alex A consistent approximation of the total perimeter functional for topology optimization algorithms. (English) Zbl 1485.49050 ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022). MSC: 49Q10 49Q12 35J05 35J25 41A60 65K05 PDFBibTeX XMLCite \textit{S. Amstutz} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022; Zbl 1485.49050) Full Text: DOI
Chen, De-Han; Jiang, Daijun; Yousept, Irwin; Zou, Jun Variational source conditions for inverse Robin and flux problems by partial measurements. (English) Zbl 1484.35406 Inverse Probl. Imaging 16, No. 2, 283-304 (2022). MSC: 35R30 35R35 35J25 41A25 65M32 PDFBibTeX XMLCite \textit{D.-H. Chen} et al., Inverse Probl. Imaging 16, No. 2, 283--304 (2022; Zbl 1484.35406) Full Text: DOI
Wang, Rui; Xu, Yuesheng Representer theorems in Banach spaces: minimum norm interpolation, regularized learning and semi-discrete inverse problems. (English) Zbl 1507.68261 J. Mach. Learn. Res. 22, Paper No. 225, 65 p. (2021). MSC: 68T05 41A65 46B20 46N10 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Xu}, J. Mach. Learn. Res. 22, Paper No. 225, 65 p. (2021; Zbl 1507.68261) Full Text: arXiv Link
Li, Huiping; Li, Song Riemannian optimization for phase retrieval from masked Fourier measurements. (English) Zbl 1481.94057 Adv. Comput. Math. 47, No. 6, Paper No. 88, 32 p. (2021). MSC: 94A12 42A38 94A20 78A45 41A29 53B21 90C26 68Q25 PDFBibTeX XMLCite \textit{H. Li} and \textit{S. Li}, Adv. Comput. Math. 47, No. 6, Paper No. 88, 32 p. (2021; Zbl 1481.94057) Full Text: DOI
Chen, De-han; Jiang, Daijun Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion. (English) Zbl 1473.35649 Inverse Probl. Imaging 15, No. 5, 951-974 (2021). MSC: 35R30 35K51 35K57 41A25 65M32 92D25 PDFBibTeX XMLCite \textit{D.-h. Chen} and \textit{D. Jiang}, Inverse Probl. Imaging 15, No. 5, 951--974 (2021; Zbl 1473.35649) Full Text: DOI
Brander, Tommi; Siltakoski, Jarkko Recovering a variable exponent. (English) Zbl 1495.34031 Doc. Math. 26, 713-731 (2021). Reviewer: Natalia Bondarenko (Saratov) MSC: 34A55 41A10 PDFBibTeX XMLCite \textit{T. Brander} and \textit{J. Siltakoski}, Doc. Math. 26, 713--731 (2021; Zbl 1495.34031) Full Text: DOI arXiv
Wang, Dong An efficient iterative method for reconstructing surface from point clouds. (English) Zbl 1471.49002 J. Sci. Comput. 87, No. 1, Paper No. 38, 21 p. (2021). MSC: 49J10 49M05 41A30 PDFBibTeX XMLCite \textit{D. Wang}, J. Sci. Comput. 87, No. 1, Paper No. 38, 21 p. (2021; Zbl 1471.49002) Full Text: DOI arXiv
Schiefermayr, Klaus; Zinchenko, Maxim Norm estimates for Chebyshev polynomials, I. (English) Zbl 1462.41012 J. Approx. Theory 265, Article ID 105561, 14 p. (2021). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A50 30C10 30E10 PDFBibTeX XMLCite \textit{K. Schiefermayr} and \textit{M. Zinchenko}, J. Approx. Theory 265, Article ID 105561, 14 p. (2021; Zbl 1462.41012) Full Text: DOI
Fefferman, Charles; Ivanov, Sergei; Kurylev, Yaroslav; Lassas, Matti; Narayanan, Hariharan Reconstruction and interpolation of manifolds. I: The geometric Whitney problem. (English) Zbl 1470.53045 Found. Comput. Math. 20, No. 5, 1035-1133 (2020). Reviewer: Chandan Kumar Mondal (Durgapur) MSC: 53C23 53C21 62G08 35R30 41A05 PDFBibTeX XMLCite \textit{C. Fefferman} et al., Found. Comput. Math. 20, No. 5, 1035--1133 (2020; Zbl 1470.53045) Full Text: DOI arXiv
Hafiene, Yosra; Fadili, Jalal M.; Elmoataz, Abderrahim Continuum limits of nonlocal \(p\)-Laplacian variational problems on graphs. (English) Zbl 1447.65056 SIAM J. Imaging Sci. 12, No. 4, 1772-1807 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65M12 65M15 41A17 05C80 05C90 49M25 65K15 35A15 35Q35 35K20 35R02 35R09 PDFBibTeX XMLCite \textit{Y. Hafiene} et al., SIAM J. Imaging Sci. 12, No. 4, 1772--1807 (2019; Zbl 1447.65056) Full Text: DOI arXiv
Wang, Dong; Osting, Braxton; Wang, Xiao-Ping Interface dynamics for an Allen-Cahn-type equation governing a matrix-valued field. (English) Zbl 1439.35408 Multiscale Model. Simul. 17, No. 4, 1252-1273 (2019). MSC: 35Q35 41A60 35K93 76T99 PDFBibTeX XMLCite \textit{D. Wang} et al., Multiscale Model. Simul. 17, No. 4, 1252--1273 (2019; Zbl 1439.35408) Full Text: DOI arXiv
Zhang, Rui; Li, Song Optimal RIP bounds for sparse signals recovery via \(\ell_p\) minimization. (English) Zbl 1422.94018 Appl. Comput. Harmon. Anal. 47, No. 3, 566-584 (2019). MSC: 94A12 94A15 94A08 41A63 15B52 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{S. Li}, Appl. Comput. Harmon. Anal. 47, No. 3, 566--584 (2019; Zbl 1422.94018) Full Text: DOI
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar Scalable Matrix-free adaptive product-convolution approximation for locally translation-invariant operators. (English) Zbl 1461.41001 SIAM J. Sci. Comput. 41, No. 4, A2296-A2328 (2019). MSC: 41A35 42A61 42A85 47A58 49K20 65F08 94A12 PDFBibTeX XMLCite \textit{N. Alger} et al., SIAM J. Sci. Comput. 41, No. 4, A2296--A2328 (2019; Zbl 1461.41001) Full Text: DOI arXiv
Kindermann, Stefan; Raik, Kemal Heuristic parameter choice rules for Tikhonov regularization with weakly bounded noise. (English) Zbl 07065353 Numer. Funct. Anal. Optim. 40, No. 12, 1373-1394 (2019). MSC: 47-XX 65-XX 41-XX PDFBibTeX XMLCite \textit{S. Kindermann} and \textit{K. Raik}, Numer. Funct. Anal. Optim. 40, No. 12, 1373--1394 (2019; Zbl 07065353) Full Text: DOI arXiv
Gutting, Martin Parameter choices for fast harmonic spline approximation. (English) Zbl 1475.65005 Freeden, Willi (ed.) et al., Handbook of mathematical geodesy. Functional analytic and potential theoretic methods. Cham: Birkhäuser. Geosyst. Math., 605-639 (2018). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{M. Gutting}, in: Handbook of mathematical geodesy. Functional analytic and potential theoretic methods. Cham: Birkhäuser. 605--639 (2018; Zbl 1475.65005) Full Text: DOI
Druskin, Vladimir; Mamonov, Alexander V.; Zaslavsky, Mikhail A nonlinear method for imaging with acoustic waves via reduced order model backprojection. (English) Zbl 1401.86006 SIAM J. Imaging Sci. 11, No. 1, 164-196 (2018). MSC: 86A22 35R30 41A05 65N21 PDFBibTeX XMLCite \textit{V. Druskin} et al., SIAM J. Imaging Sci. 11, No. 1, 164--196 (2018; Zbl 1401.86006) Full Text: DOI arXiv
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\). (English) Zbl 1369.41031 Invent. Math. 208, No. 1, 217-245 (2017). Reviewer: Richard A. Zalik (Auburn) MSC: 41A50 30E15 30C10 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., Invent. Math. 208, No. 1, 217--245 (2017; Zbl 1369.41031) Full Text: DOI arXiv
Bonnafé, Alain Estimates and asymptotic expansions for condenser \(p\)-capacities. The anisotropic case of segments. (English) Zbl 1427.31007 Quaest. Math. 39, No. 7, 911-944 (2016). MSC: 31C15 31C45 35J92 41A60 42B37 PDFBibTeX XMLCite \textit{A. Bonnafé}, Quaest. Math. 39, No. 7, 911--944 (2016; Zbl 1427.31007) Full Text: DOI
Alpan, Gökalp; Goncharov, Alexander; Hatinoğlu, Burak Some asymptotics for extremal polynomials. (English) Zbl 1355.33008 Anastassiou, George A. (ed.) et al., Computational analysis. AMAT, Ankara, May 2015. Selected contributions presented at the 3rd international conference on applied mathematics and approximation theory, Ankara, Turkey, May 28–31, 2015. Cham: Springer (ISBN 978-3-319-28441-5/hbk; 978-3-319-28443-9/ebook). Springer Proceedings in Mathematics & Statistics 155, 87-101 (2016). MSC: 33C45 41A50 PDFBibTeX XMLCite \textit{G. Alpan} et al., Springer Proc. Math. Stat. 155, 87--101 (2016; Zbl 1355.33008) Full Text: DOI Link
Simanek, Brian Asymptotic properties of extremal polynomials corresponding to measures supported on analytic regions. (English) Zbl 1283.30005 J. Approx. Theory 170, 172-197 (2013). Reviewer: H. P. Dikshit (Bhopal) MSC: 30C10 41A10 42C05 PDFBibTeX XMLCite \textit{B. Simanek}, J. Approx. Theory 170, 172--197 (2013; Zbl 1283.30005) Full Text: DOI arXiv
Han, Bin; Shen, Zuowei Dual wavelet frames and Riesz bases in Sobolev spaces. (English) Zbl 1161.42018 Constr. Approx. 29, No. 3, 369-406 (2009). MSC: 42C40 41A15 41A63 42B35 PDFBibTeX XMLCite \textit{B. Han} and \textit{Z. Shen}, Constr. Approx. 29, No. 3, 369--406 (2009; Zbl 1161.42018) Full Text: DOI