Dai, F.; Temlyakov, V. Universal sampling discretization. (English) Zbl 07781586 Constr. Approx. 58, No. 3, 589-613 (2023). MSC: 65J05 41A46 41A63 42A05 65D30 PDFBibTeX XMLCite \textit{F. Dai} and \textit{V. Temlyakov}, Constr. Approx. 58, No. 3, 589--613 (2023; Zbl 07781586) Full Text: DOI arXiv
Jahn, Thomas; Ullrich, Tino; Voigtlaender, Felix Sampling numbers of smoothness classes via \(\ell^1\)-minimization. (English) Zbl 07772620 J. Complexity 79, Article ID 101786, 35 p. (2023). MSC: 94A20 41A46 46E15 42B35 41A25 65D15 41A63 PDFBibTeX XMLCite \textit{T. Jahn} et al., J. Complexity 79, Article ID 101786, 35 p. (2023; Zbl 07772620) Full Text: DOI arXiv
Temlyakov, V. N. Sampling discretization error of integral norms for function classes with small smoothness. (English) Zbl 1528.41069 J. Approx. Theory 293, Article ID 105913, 15 p. (2023). MSC: 41A46 65D30 68T05 PDFBibTeX XMLCite \textit{V. N. Temlyakov}, J. Approx. Theory 293, Article ID 105913, 15 p. (2023; Zbl 1528.41069) Full Text: DOI
Adcock, Ben; Cardenas, Juan M.; Dexter, Nick An adaptive sampling and domain learning strategy for multivariate function approximation on unknown domains. (English) Zbl 1516.65009 SIAM J. Sci. Comput. 45, No. 1, A200-A225 (2023). MSC: 65D12 41A10 41A17 41A63 65C05 PDFBibTeX XMLCite \textit{B. Adcock} et al., SIAM J. Sci. Comput. 45, No. 1, A200--A225 (2023; Zbl 1516.65009) Full Text: DOI arXiv
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V. N.; Tikhonov, S. On the cardinality of lower sets and universal discretization. (English) Zbl 1515.65123 J. Complexity 76, Article ID 101726, 16 p. (2023). MSC: 65J05 05A17 42B05 65D30 41A17 41A63 PDFBibTeX XMLCite \textit{F. Dai} et al., J. Complexity 76, Article ID 101726, 16 p. (2023; Zbl 1515.65123) Full Text: DOI arXiv
Xu, Yiming; Narayan, Akil Randomized weakly admissible meshes. (English) Zbl 1518.41006 J. Approx. Theory 285, Article ID 105835, 32 p. (2023). Reviewer: Anjali (Delhi) MSC: 41A10 65D99 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{A. Narayan}, J. Approx. Theory 285, Article ID 105835, 32 p. (2023; Zbl 1518.41006) Full Text: DOI arXiv
Kosov, Egor D. Remarks on sampling discretization of integral norms of functions. (English. Russian original) Zbl 07655355 Proc. Steklov Inst. Math. 319, 189-199 (2022); translation from Tr. Mat. Inst. Steklova 319, 202-212 (2022). MSC: 62-XX 65-XX PDFBibTeX XMLCite \textit{E. D. Kosov}, Proc. Steklov Inst. Math. 319, 189--199 (2022; Zbl 07655355); translation from Tr. Mat. Inst. Steklova 319, 202--212 (2022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{F. Dai} et al., Constr. Approx. 54, No. 3, 455--471 (2021; Zbl 1480.65060) Full Text: DOI arXiv
Ivanov, V. I. Yudin-Hermite extremal problems for polynomials. (English. Russian original) Zbl 1489.42016 Math. Notes 110, No. 5, 799-805 (2021); translation from Mat. Zametki 110, No. 5, 789-795 (2021). Reviewer: M. Abdessadek Saib (Tebessa) MSC: 42C05 42A15 42A05 41A10 65D32 PDFBibTeX XMLCite \textit{V. I. Ivanov}, Math. Notes 110, No. 5, 799--805 (2021; Zbl 1489.42016); translation from Mat. Zametki 110, No. 5, 789--795 (2021) Full Text: DOI
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni Worst-case recovery guarantees for least squares approximation using random samples. (English) Zbl 1484.41004 Constr. Approx. 54, No. 2, 295-352 (2021). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 41A10 41A25 41A55 41A60 41A63 42A10 62J02 65D32 68W40 94A20 PDFBibTeX XMLCite \textit{L. Kämmerer} et al., Constr. Approx. 54, No. 2, 295--352 (2021; Zbl 1484.41004) Full Text: DOI arXiv
Temlyakov, V. On optimal recovery in \(L_2\). (English) Zbl 1469.41009 J. Complexity 65, Article ID 101545, 11 p. (2021). Reviewer: Yuri A. Farkov (Moskva) MSC: 41A46 65D99 65Y20 PDFBibTeX XMLCite \textit{V. Temlyakov}, J. Complexity 65, Article ID 101545, 11 p. (2021; Zbl 1469.41009) Full Text: DOI arXiv
Adcock, Ben; Cardenas, Juan M. Near-optimal sampling strategies for multivariate function approximation on general domains. (English) Zbl 1484.41015 SIAM J. Math. Data Sci. 2, No. 3, 607-630 (2020). MSC: 41A63 41A10 41A17 65C05 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{J. M. Cardenas}, SIAM J. Math. Data Sci. 2, No. 3, 607--630 (2020; Zbl 1484.41015) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Tian, James F. Superposition, reduction of multivariable problems, and approximation. (English) Zbl 07272156 Anal. Appl., Singap. 18, No. 5, 771-801 (2020). MSC: 47L60 46N30 46N50 42C15 65R10 31C20 62D05 94A20 39A12 46N20 22E70 31A15 58J65 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{J. F. Tian}, Anal. Appl., Singap. 18, No. 5, 771--801 (2020; Zbl 07272156) Full Text: DOI arXiv
Gröchenig, Karlheinz Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules. (English) Zbl 1446.41005 J. Approx. Theory 257, Article ID 105455, 19 p. (2020). MSC: 41A17 42A10 65D30 PDFBibTeX XMLCite \textit{K. Gröchenig}, J. Approx. Theory 257, Article ID 105455, 19 p. (2020; Zbl 1446.41005) Full Text: DOI arXiv
Temlyakov, Vladimir Connections between numerical integration, discrepancy, dispersion, and universal discretization. (English) Zbl 1516.65019 SMAI J. Comput. Math. S5, 185-209 (2019). MSC: 65D30 41A65 42A10 46B20 PDFBibTeX XMLCite \textit{V. Temlyakov}, SMAI J. Comput. Math. S5, 185--209 (2019; Zbl 1516.65019) Full Text: DOI arXiv
Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu. Integral norm discretization and related problems. (English. Russian original) Zbl 07179262 Russ. Math. Surv. 74, No. 4, 579-630 (2019); translation from Usp. Mat. Nauk 74, No. 4, 3-58 (2019). MSC: 65J05 65D32 41A55 41A17 41A63 42A10 42B99 PDFBibTeX XMLCite \textit{F. Dai} et al., Russ. Math. Surv. 74, No. 4, 579--630 (2019; Zbl 07179262); translation from Usp. Mat. Nauk 74, No. 4, 3--58 (2019) Full Text: DOI arXiv
Owolabi, Kolade M. Numerical analysis and pattern formation process for space-fractional superdiffusive systems. (English) Zbl 1418.65075 Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 543-566 (2019). MSC: 65L05 65L06 93C10 34A34 49M25 65M70 34A08 PDFBibTeX XMLCite \textit{K. M. Owolabi}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 543--566 (2019; Zbl 1418.65075) Full Text: DOI
Constales, Denis; De Bie, Hendrik; Lian, Pan Explicit formulas for the Dunkl dihedral kernel and the \((\kappa,a)\)-generalized Fourier kernel. (English) Zbl 1382.65474 J. Math. Anal. Appl. 460, No. 2, 900-926 (2018). MSC: 65T40 65R10 44A10 42A38 33E12 PDFBibTeX XMLCite \textit{D. Constales} et al., J. Math. Anal. Appl. 460, No. 2, 900--926 (2018; Zbl 1382.65474) Full Text: DOI arXiv Link
Owolabi, Kolade M. Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems. (English) Zbl 1372.92091 Chaos Solitons Fractals 93, 89-98 (2016). MSC: 92D25 65L05 65M06 65N20 35B35 PDFBibTeX XMLCite \textit{K. M. Owolabi}, Chaos Solitons Fractals 93, 89--98 (2016; Zbl 1372.92091) Full Text: DOI
Ruzhansky, Michael; Tikhonov, Sergey Some problems in Fourier analysis and approximation theory. (English) Zbl 1343.42001 Ruzhansky, Michael (ed.) et al., Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section “Approximation theory and Fourier analysis”, Crakow, Poland, August 5–9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4–8, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-27465-2/hbk; 978-3-319-27466-9/ebook). Applied and Numerical Harmonic Analysis, 1-19 (2016). MSC: 42-02 41-02 49-02 42B20 42B10 42C15 42C10 42A99 42A10 41A17 49J40 49M25 32A35 32A22 46E35 26B05 65C05 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{S. Tikhonov}, in: Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section ``Approximation theory and Fourier analysis'', Crakow, Poland, August 5--9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4--8, 2013. Basel: Birkhäuser/Springer. 1--19 (2016; Zbl 1343.42001) Full Text: DOI
Mastroianni, G.; Notarangelo, I. A Nyström method for Fredholm integral equations on the real line. (English) Zbl 1219.65163 J. Integral Equations Appl. 23, No. 2, 253-288 (2011). MSC: 65R20 45B05 45E10 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{I. Notarangelo}, J. Integral Equations Appl. 23, No. 2, 253--288 (2011; Zbl 1219.65163) Full Text: DOI Euclid