Adcock, Ben; Dexter, Nick; Moraga, Sebastian Optimal approximation of infinite-dimensional holomorphic functions. (English) Zbl 07814906 Calcolo 61, No. 1, Paper No. 12, 45 p. (2024). MSC: 65D40 41A63 65Y20 PDFBibTeX XMLCite \textit{B. Adcock} et al., Calcolo 61, No. 1, Paper No. 12, 45 p. (2024; Zbl 07814906) Full Text: DOI arXiv
Geng, Jiaxin; Wang, Heping On the power of standard information for tractability for \(L_{\infty}\) approximation of periodic functions in the worst case setting. (English) Zbl 07799847 J. Complexity 80, Article ID 101790, 25 p. (2024). MSC: 41A63 65D15 65Y20 PDFBibTeX XMLCite \textit{J. Geng} and \textit{H. Wang}, J. Complexity 80, Article ID 101790, 25 p. (2024; Zbl 07799847) Full Text: DOI arXiv
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
Zhao, Junjian Nonuniform sampling theorem for non-decaying signals in mixed-norm spaces \(L_{\overrightarrow{p},\frac{1}{\omega}}(\mathbb{R}^d)\). (English) Zbl 07795709 Acta Appl. Math. 189, Paper No. 2, 26 p. (2024). MSC: 94A12 94A20 41A15 42C15 42B35 42C40 PDFBibTeX XMLCite \textit{J. Zhao}, Acta Appl. Math. 189, Paper No. 2, 26 p. (2024; Zbl 07795709) Full Text: DOI
Bartel, Felix; Kämmerer, Lutz; Potts, Daniel; Ullrich, Tino On the reconstruction of functions from values at subsampled quadrature points. (English) Zbl 07782519 Math. Comput. 93, No. 346, 785-809 (2024). MSC: 41A10 41A25 41A60 41A63 42A10 68Q25 68W40 94A20 PDFBibTeX XMLCite \textit{F. Bartel} et al., Math. Comput. 93, No. 346, 785--809 (2024; Zbl 07782519) Full Text: DOI arXiv
Hovemann, Marc; Kopsch, Anne; Raasch, Thorsten; Vogel, Dorian B-spline quarklets and biorthogonal multiwavelets. (English) Zbl 07776505 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 1, Article ID 2350029, 40 p. (2024). MSC: 42C40 41A15 PDFBibTeX XMLCite \textit{M. Hovemann} et al., Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 1, Article ID 2350029, 40 p. (2024; Zbl 07776505) 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
Kushpel, Alexander Optimal recovery and volume estimates. (English) Zbl 1527.41007 J. Complexity 79, Article ID 101780, 15 p. (2023). MSC: 41A46 42C10 PDFBibTeX XMLCite \textit{A. Kushpel}, J. Complexity 79, Article ID 101780, 15 p. (2023; Zbl 1527.41007) Full Text: DOI
Hovemann, Marc; Dahlke, Stephan Quarklet characterizations for Triebel-Lizorkin spaces. (English) Zbl 07747925 J. Approx. Theory 295, Article ID 105968, 38 p. (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 46E35 42C40 41A15 PDFBibTeX XMLCite \textit{M. Hovemann} and \textit{S. Dahlke}, J. Approx. Theory 295, Article ID 105968, 38 p. (2023; Zbl 07747925) Full Text: DOI arXiv
Nielsen, Morten Stable decomposition of homogeneous mixed-norm Triebel-Lizorkin spaces. (English) Zbl 07747924 J. Approx. Theory 295, Article ID 105958, 28 p. (2023). MSC: 41-XX 42-XX 42B35 42C15 42C40 41A17 41A65 PDFBibTeX XMLCite \textit{M. Nielsen}, J. Approx. Theory 295, Article ID 105958, 28 p. (2023; Zbl 07747924) Full Text: DOI arXiv
Zhao, Junjian; Qu, Guangwei; Du, Wei-Shih; Chen, Yasong Approximation of kernel projection operators in shift-invariant subspaces of function spaces with mixed norms. (English) Zbl 07738409 Banach J. Math. Anal. 17, No. 4, Paper No. 70, 24 p. (2023). MSC: 41A35 41A15 41A58 42B35 42C40 PDFBibTeX XMLCite \textit{J. Zhao} et al., Banach J. Math. Anal. 17, No. 4, Paper No. 70, 24 p. (2023; Zbl 07738409) Full Text: DOI
Krieg, David; Vybíral, Jan New lower bounds for the integration of periodic functions. (English) Zbl 1521.65020 J. Fourier Anal. Appl. 29, No. 4, Paper No. 41, 26 p. (2023). MSC: 65D30 65D32 41A55 42A75 PDFBibTeX XMLCite \textit{D. Krieg} and \textit{J. Vybíral}, J. Fourier Anal. Appl. 29, No. 4, Paper No. 41, 26 p. (2023; Zbl 1521.65020) Full Text: DOI arXiv
Lippert, Laura; Potts, Daniel; Ullrich, Tino Fast hyperbolic wavelet regression meets ANOVA. (English) Zbl 1528.41030 Numer. Math. 154, No. 1-2, 155-207 (2023). MSC: 41A17 41A25 41A63 65D15 65T60 PDFBibTeX XMLCite \textit{L. Lippert} et al., Numer. Math. 154, No. 1--2, 155--207 (2023; Zbl 1528.41030) Full Text: DOI arXiv
Byrenheid, Glenn; Hübner, Janina; Weimar, Markus Rate-optimal sparse approximation of compact break-of-scale embeddings. (English) Zbl 1514.35124 Appl. Comput. Harmon. Anal. 65, 40-66 (2023). MSC: 35J10 35Q40 41A25 41A45 41A46 PDFBibTeX XMLCite \textit{G. Byrenheid} et al., Appl. Comput. Harmon. Anal. 65, 40--66 (2023; Zbl 1514.35124) Full Text: DOI arXiv
Drihem, D. Spline representations of Lizorkin-Triebel spaces with general weights. (English) Zbl 1518.46022 Sib. Math. J. 64, No. 1, 208-250 (2023). MSC: 46E35 42B35 41A15 PDFBibTeX XMLCite \textit{D. Drihem}, Sib. Math. J. 64, No. 1, 208--250 (2023; Zbl 1518.46022) Full Text: DOI
Kolomoitsev, Yurii; Lomako, Tetiana; Tikhonov, Sergey Sparse grid approximation in weighted Wiener spaces. (English) Zbl 1528.41036 J. Fourier Anal. Appl. 29, No. 2, Paper No. 19, 32 p. (2023). MSC: 41A25 41A63 42A10 42A15 41A58 41A17 42B25 42B35 PDFBibTeX XMLCite \textit{Y. Kolomoitsev} et al., J. Fourier Anal. Appl. 29, No. 2, Paper No. 19, 32 p. (2023; Zbl 1528.41036) Full Text: DOI arXiv
Dolbeault, Matthieu; Krieg, David; Ullrich, Mario A sharp upper bound for sampling numbers in \(L_2\). (English) Zbl 1527.41001 Appl. Comput. Harmon. Anal. 63, 113-134 (2023). MSC: 41A25 41A45 46B09 46B15 60B20 PDFBibTeX XMLCite \textit{M. Dolbeault} et al., Appl. Comput. Harmon. Anal. 63, 113--134 (2023; Zbl 1527.41001) Full Text: DOI arXiv
Triebel, Hans Mapping properties of pseudodifferential and Fourier operators. (English) Zbl 1520.47089 Z. Anal. Anwend. 41, No. 3-4, 371-389 (2022). Reviewer: Luigi Rodino (Torino) MSC: 47G30 46E35 35P15 41A46 42B10 PDFBibTeX XMLCite \textit{H. Triebel}, Z. Anal. Anwend. 41, No. 3--4, 371--389 (2022; Zbl 1520.47089) Full Text: DOI arXiv
Nguyen, V. K.; Nguyen, V. D. Best \(n\)-term approximation of diagonal operators and application to function spaces with mixed smoothness. (English) Zbl 1524.41074 Anal. Math. 48, No. 4, 1127-1152 (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A44 42A10 47B06 PDFBibTeX XMLCite \textit{V. K. Nguyen} and \textit{V. D. Nguyen}, Anal. Math. 48, No. 4, 1127--1152 (2022; Zbl 1524.41074) Full Text: DOI arXiv
Smailov, E. S. \(B_{p\theta}^{\varphi}([0,1];H)\) with the Haar basis. (English. Russian original) Zbl 1507.46025 Sib. Math. J. 63, No. 6, 1140-1152 (2022); translation from Sib. Mat. Zh. 63, No. 6, 1334-1348 (2022). Reviewer: Aida Tagiyeva (Baku) MSC: 46E35 42A16 41A58 PDFBibTeX XMLCite \textit{E. S. Smailov}, Sib. Math. J. 63, No. 6, 1140--1152 (2022; Zbl 1507.46025); translation from Sib. Mat. Zh. 63, No. 6, 1334--1348 (2022) Full Text: DOI
Artamonov, S.; Runovski, K. V.; Schmeisser, H.-J. Besov spaces with generalized smoothness and summability of multiple Fourier series. (English) Zbl 1523.46023 J. Approx. Theory 284, Article ID 105822, 31 p. (2022). MSC: 46E35 41A17 42B08 42B35 PDFBibTeX XMLCite \textit{S. Artamonov} et al., J. Approx. Theory 284, Article ID 105822, 31 p. (2022; Zbl 1523.46023) Full Text: DOI
Kühn, Thomas; Petersen, Martin Approximation in periodic Gevrey spaces. (English) Zbl 1505.46039 J. Complexity 73, Article ID 101665, 24 p. (2022). MSC: 46F05 46E15 41A25 41A63 65D15 65Y20 PDFBibTeX XMLCite \textit{T. Kühn} and \textit{M. Petersen}, J. Complexity 73, Article ID 101665, 24 p. (2022; Zbl 1505.46039) Full Text: DOI
Utesov, A. B.; Bazarkhanova, A. A. Optimal computing units in the problem of discretizing solutions of the Klein-Gordon equation and their limit errors. (English. Russian original) Zbl 1496.65194 Differ. Equ. 58, No. 5, 698-711 (2022); translation from Differ. Uravn. 58, No. 5, 703-716 (2022). MSC: 65M99 41A46 41A63 35Q53 PDFBibTeX XMLCite \textit{A. B. Utesov} and \textit{A. A. Bazarkhanova}, Differ. Equ. 58, No. 5, 698--711 (2022; Zbl 1496.65194); translation from Differ. Uravn. 58, No. 5, 703--716 (2022) Full Text: DOI
Pozharska, Kateryna; Ullrich, Tino A note on sampling recovery of multivariate functions in the uniform norm. (English) Zbl 1510.94078 SIAM J. Numer. Anal. 60, No. 3, 1363-1384 (2022). MSC: 94A20 41A25 41A60 41A63 42A10 68W40 PDFBibTeX XMLCite \textit{K. Pozharska} and \textit{T. Ullrich}, SIAM J. Numer. Anal. 60, No. 3, 1363--1384 (2022; Zbl 1510.94078) Full Text: DOI arXiv
Nagel, Nicolas; Schäfer, Martin; Ullrich, Tino A new upper bound for sampling numbers. (English) Zbl 07533994 Found. Comput. Math. 22, No. 2, 445-468 (2022). MSC: 68Q25 41A25 41A63 65Y20 PDFBibTeX XMLCite \textit{N. Nagel} et al., Found. Comput. Math. 22, No. 2, 445--468 (2022; Zbl 07533994) Full Text: DOI arXiv
Nguyen, Van Dung; Nguyen, Van Kien; Sickel, Winfried \(s\)-numbers of embeddings of weighted Wiener algebras. (English) Zbl 1504.41034 J. Approx. Theory 279, Article ID 105745, 26 p. (2022). MSC: 41A46 42B05 47B06 PDFBibTeX XMLCite \textit{V. D. Nguyen} et al., J. Approx. Theory 279, Article ID 105745, 26 p. (2022; Zbl 1504.41034) Full Text: DOI arXiv
Michel, Bertrand; Nouy, Anthony Learning with tree tensor networks: complexity estimates and model selection. (English) Zbl 07526570 Bernoulli 28, No. 2, 910-936 (2022). MSC: 62Gxx 41Axx 42Cxx PDFBibTeX XMLCite \textit{B. Michel} and \textit{A. Nouy}, Bernoulli 28, No. 2, 910--936 (2022; Zbl 07526570) Full Text: DOI arXiv Link
Kolomoitsev, Yu.; Skopina, M. Uniform approximation by multivariate quasi-projection operators. (English) Zbl 1505.41010 Anal. Math. Phys. 12, No. 2, Paper No. 68, 23 p. (2022). MSC: 41A30 41A17 42B10 94A20 PDFBibTeX XMLCite \textit{Yu. Kolomoitsev} and \textit{M. Skopina}, Anal. Math. Phys. 12, No. 2, Paper No. 68, 23 p. (2022; Zbl 1505.41010) Full Text: DOI arXiv
Temlyakov, Vladimir N.; Ullrich, Tino Approximation of functions with small mixed smoothness in the uniform norm. (English) Zbl 1502.41007 J. Approx. Theory 277, Article ID 105718, 23 p. (2022). MSC: 41A46 41A63 42A10 68Q25 94A20 PDFBibTeX XMLCite \textit{V. N. Temlyakov} and \textit{T. Ullrich}, J. Approx. Theory 277, Article ID 105718, 23 p. (2022; Zbl 1502.41007) Full Text: DOI arXiv
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
Kushpel, Alexander Lower bounds of cowidths and widths of multiplier operators. (English) Zbl 1495.41015 J. Complexity 69, Article ID 101614, 23 p. (2022). MSC: 41A46 42C10 PDFBibTeX XMLCite \textit{A. Kushpel}, J. Complexity 69, Article ID 101614, 23 p. (2022; Zbl 1495.41015) Full Text: DOI
Kolomoitsev, Yurii Approximation by quasi-interpolation operators and Smolyak’s algorithm. (English) Zbl 1496.42001 J. Complexity 69, Article ID 101601, 24 p. (2022). MSC: 42A10 41A63 42A15 42B25 42B35 PDFBibTeX XMLCite \textit{Y. Kolomoitsev}, J. Complexity 69, Article ID 101601, 24 p. (2022; Zbl 1496.42001) Full Text: DOI arXiv
Weimar, Markus On the lack of Interior regularity of the \(p\)-Poisson problem with \(p > 2\). (English) Zbl 1523.35097 Math. Nachr. 294, No. 6, 1186-1205 (2021). MSC: 35B65 35J92 41A46 46E35 PDFBibTeX XMLCite \textit{M. Weimar}, Math. Nachr. 294, No. 6, 1186--1205 (2021; Zbl 1523.35097) Full Text: DOI arXiv OA License
Dũng, Dinh; Nguyen, Van Kien Deep ReLU neural networks in high-dimensional approximation. (English) Zbl 07743508 Neural Netw. 142, 619-635 (2021). Reviewer: Haizhang Zhang (Guangzhou) MSC: 41A46 68T07 PDFBibTeX XMLCite \textit{D. Dũng} and \textit{V. K. Nguyen}, Neural Netw. 142, 619--635 (2021; Zbl 07743508) Full Text: DOI arXiv
Griebel, Michael; Hamaekers, Jan Generalized sparse grid interpolation based on the fast discrete Fourier transform. (English) Zbl 1498.65039 Bungartz, Hans-Joachim (ed.) et al., Sparse grids and applications – Munich 2018. Selected papers based on the presentations at the fifth workshop, SGA2018, Munich, Germany, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 144, 53-68 (2021). MSC: 65D40 41A63 65D05 65T50 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{J. Hamaekers}, Lect. Notes Comput. Sci. Eng. 144, 53--68 (2021; Zbl 1498.65039) 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
Kolomoitsev, Yurii; Skopina, Maria Approximation by multivariate quasi-projection operators and Fourier multipliers. (English) Zbl 1508.41009 Appl. Math. Comput. 400, Article ID 125955, 18 p. (2021). MSC: 41A35 41A17 42B10 42B15 94A20 PDFBibTeX XMLCite \textit{Y. Kolomoitsev} and \textit{M. Skopina}, Appl. Math. Comput. 400, Article ID 125955, 18 p. (2021; Zbl 1508.41009) Full Text: DOI arXiv
Temlyakov, V.; Ullrich, T. Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness. (English) Zbl 1482.41020 J. Complexity 67, Article ID 101575, 19 p. (2021). Reviewer: Allan Pinkus (Haifa) MSC: 41A46 PDFBibTeX XMLCite \textit{V. Temlyakov} and \textit{T. Ullrich}, J. Complexity 67, Article ID 101575, 19 p. (2021; Zbl 1482.41020) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Krieg} and \textit{M. Ullrich}, Found. Comput. Math. 21, No. 4, 1141--1151 (2021; Zbl 1481.41014) Full Text: DOI arXiv
Kolomoitsev, Yurii; Prestin, Jürgen Approximation properties of periodic multivariate quasi-interpolation operators. (English) Zbl 1475.41008 J. Approx. Theory 270, Article ID 105631, 24 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A35 41A25 41A27 42A10 42A15 PDFBibTeX XMLCite \textit{Y. Kolomoitsev} and \textit{J. Prestin}, J. Approx. Theory 270, Article ID 105631, 24 p. (2021; Zbl 1475.41008) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Nogayama, Toru; Ono, Takahiro; Salim, Daniel; Sawano, Yoshihiro Atomic decomposition for mixed Morrey spaces. (English) Zbl 1471.42053 J. Geom. Anal. 31, No. 9, 9338-9365 (2021). MSC: 42B35 41A17 46E30 PDFBibTeX XMLCite \textit{T. Nogayama} et al., J. Geom. Anal. 31, No. 9, 9338--9365 (2021; Zbl 1471.42053) Full Text: DOI
Rehme, Michael F.; Pflüger, Dirk Stochastic collocation with hierarchical extended B-splines on sparse grids. (English) Zbl 1479.41010 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, 219-236 (2021). MSC: 41A15 PDFBibTeX XMLCite \textit{M. F. Rehme} and \textit{D. Pflüger}, Springer Proc. Math. Stat. 336, 219--236 (2021; Zbl 1479.41010) Full Text: DOI
Xu, Guiqiao; Liu, Zehong; Wang, Hui Sample numbers and optimal Lagrange interpolation of Sobolev spaces \(W_1^r\). (English) Zbl 1471.41004 Chin. Ann. Math., Ser. B 42, No. 4, 519-528 (2021). MSC: 41A05 41A25 PDFBibTeX XMLCite \textit{G. Xu} et al., Chin. Ann. Math., Ser. B 42, No. 4, 519--528 (2021; Zbl 1471.41004) Full Text: DOI
Jahn, Thomas; Ullrich, Tino On the optimal constants in the two-sided Stechkin inequalities. (English) Zbl 1473.41002 J. Approx. Theory 269, Article ID 105607, 25 p. (2021). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A17 41A44 46E30 PDFBibTeX XMLCite \textit{T. Jahn} and \textit{T. Ullrich}, J. Approx. Theory 269, Article ID 105607, 25 p. (2021; Zbl 1473.41002) Full Text: DOI arXiv
Hinrichs, Aicke; Krieg, David; Novak, Erich; Vybíral, Jan Lower bounds for the error of quadrature formulas for Hilbert spaces. (English) Zbl 1472.65029 J. Complexity 65, Article ID 101544, 20 p. (2021). MSC: 65D30 41A55 PDFBibTeX XMLCite \textit{A. Hinrichs} et al., J. Complexity 65, Article ID 101544, 20 p. (2021; Zbl 1472.65029) Full Text: DOI arXiv
Parhi, Rahul; Nowak, Robert D. Banach space representer theorems for neural networks and ridge splines. (English) Zbl 1507.68250 J. Mach. Learn. Res. 22, Paper No. 43, 40 p. (2021). MSC: 68T05 41A15 46E22 46N10 PDFBibTeX XMLCite \textit{R. Parhi} and \textit{R. D. Nowak}, J. Mach. Learn. Res. 22, Paper No. 43, 40 p. (2021; Zbl 1507.68250) Full Text: arXiv Link
Schäfer, Martin; Ullrich, Tino; Vedel, Béatrice Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces. (English) Zbl 1467.42058 J. Fourier Anal. Appl. 27, No. 3, Paper No. 51, 55 p. (2021). MSC: 42C40 46E35 42B25 41A25 65T60 PDFBibTeX XMLCite \textit{M. Schäfer} et al., J. Fourier Anal. Appl. 27, No. 3, Paper No. 51, 55 p. (2021; Zbl 1467.42058) Full Text: DOI arXiv
Ushakova, E. P. Spline wavelet decomposition in weighted function spaces. (English) Zbl 1462.42065 Proc. Steklov Inst. Math. 312, 301-324 (2021) and Tr. Mat. Inst. Steklova 312, 313-337 (2021). MSC: 42C40 41A15 46E35 PDFBibTeX XMLCite \textit{E. P. Ushakova}, Proc. Steklov Inst. Math. 312, 301--324 (2021; Zbl 1462.42065) Full Text: DOI arXiv
Mayer, Sebastian; Ullrich, Tino Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness. (English) Zbl 1466.41014 Constr. Approx. 53, No. 2, 249-279 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 41A46 42B35 42C40 46E35 PDFBibTeX XMLCite \textit{S. Mayer} and \textit{T. Ullrich}, Constr. Approx. 53, No. 2, 249--279 (2021; Zbl 1466.41014) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Yu. Kolomoitsev} and \textit{M. Skopina}, Appl. Comput. Harmon. Anal. 52, 165--197 (2021; Zbl 1460.41015) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{R. Nasdala} and \textit{D. Potts}, Numer. Math. 147, No. 2, 393--429 (2021; Zbl 1464.65294) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Kühn} et al., J. Complexity 63, Article ID 101523, 38 p. (2021; Zbl 1470.46058) Full Text: DOI arXiv
Yanchenko, S. Ya.; Radchenko, O. Ya. Approximating characteristics of the Nikol’skii-Besov classes \({S}_{1,\theta}^rB({\mathbb{R}}^d) \). (English. Ukrainian original) Zbl 1523.41009 Ukr. Math. J. 71, No. 10, 1608-1626 (2020); translation from Ukr. Mat. Zh. 71, No. 10, 1405-1421 (2019). MSC: 41A46 42B35 46E30 PDFBibTeX XMLCite \textit{S. Ya. Yanchenko} and \textit{O. Ya. Radchenko}, Ukr. Math. J. 71, No. 10, 1608--1626 (2020; Zbl 1523.41009); translation from Ukr. Mat. Zh. 71, No. 10, 1405--1421 (2019) Full Text: DOI
Hao, Jidong; Wang, Heping Strong equivalences of approximation numbers and tractability of weighted anisotropic Sobolev embeddings. (English) Zbl 1499.41100 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 6, 1765-1782 (2020). MSC: 41A63 65D15 PDFBibTeX XMLCite \textit{J. Hao} and \textit{H. Wang}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 6, 1765--1782 (2020; Zbl 1499.41100) Full Text: DOI arXiv
Kühn, Thomas New preasymptotic estimates for approximation of periodic Sobolev functions. (English) Zbl 1461.46030 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 97-112 (2020). MSC: 46E35 47B06 41A63 PDFBibTeX XMLCite \textit{T. Kühn}, MATRIX Book Ser. 3, 97--112 (2020; Zbl 1461.46030) Full Text: DOI
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
Derevianko, Nadiia; Ullrich, Tino A higher order Faber spline basis for sampling discretization of functions. (English) Zbl 1444.42035 J. Approx. Theory 257, Article ID 105449, 37 p. (2020). MSC: 42C40 42C15 46E35 41A15 65T60 PDFBibTeX XMLCite \textit{N. Derevianko} and \textit{T. Ullrich}, J. Approx. Theory 257, Article ID 105449, 37 p. (2020; Zbl 1444.42035) Full Text: DOI arXiv
Kolomoitsev, Yurii; Tikhonov, Sergey Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). (English) Zbl 1450.41004 J. Approx. Theory 257, Article ID 105423, 28 p. (2020). Reviewer: Alexei Lukashov (Saratov) MSC: 41A17 26A15 26A33 26D15 41A25 41A63 46E35 PDFBibTeX XMLCite \textit{Y. Kolomoitsev} and \textit{S. Tikhonov}, J. Approx. Theory 257, Article ID 105423, 28 p. (2020; Zbl 1450.41004) Full Text: DOI arXiv
Artamonov, S.; Runovski, K. V.; Schmeisser, H.-J. Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness. (English) Zbl 1442.41004 J. Math. Anal. Appl. 489, No. 1, Article ID 124138, 18 p. (2020). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A17 41A25 41A27 41A35 PDFBibTeX XMLCite \textit{S. Artamonov} et al., J. Math. Anal. Appl. 489, No. 1, Article ID 124138, 18 p. (2020; Zbl 1442.41004) Full Text: DOI
Kolomoitsev, Yu.; Krivoshein, A.; Skopina, M. Approximation by periodic multivariate quasi-projection operators. (English) Zbl 1445.41008 J. Math. Anal. Appl. 489, No. 2, Article ID 124192, 28 p. (2020). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 41A35 42C40 PDFBibTeX XMLCite \textit{Yu. Kolomoitsev} et al., J. Math. Anal. Appl. 489, No. 2, Article ID 124192, 28 p. (2020; Zbl 1445.41008) Full Text: DOI arXiv
Haroske, Dorothee D.; Skrzypczak, Leszek Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains. (English) Zbl 1446.46019 J. Approx. Theory 256, Article ID 105424, 23 p. (2020). Reviewer: Hans Triebel (Jena) MSC: 46E35 47B06 41A46 PDFBibTeX XMLCite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, J. Approx. Theory 256, Article ID 105424, 23 p. (2020; Zbl 1446.46019) Full Text: DOI arXiv
Cioica-Licht, Petru A.; Weimar, Markus On the limit regularity in Sobolev and Besov scales related to approximation theory. (English) Zbl 1432.35034 J. Fourier Anal. Appl. 26, No. 1, Paper No. 10, 24 p. (2020). MSC: 35B65 35B35 35J92 41A25 46E35 47A65 65N12 PDFBibTeX XMLCite \textit{P. A. Cioica-Licht} and \textit{M. Weimar}, J. Fourier Anal. Appl. 26, No. 1, Paper No. 10, 24 p. (2020; Zbl 1432.35034) Full Text: DOI arXiv
Gnewuch, M.; Wnuk, M. Explicit error bounds for randomized Smolyak algorithms and an application to infinite-dimensional integration. (English) Zbl 1434.41028 J. Approx. Theory 251, Article ID 105342, 29 p. (2020). MSC: 41A63 60H25 68W20 PDFBibTeX XMLCite \textit{M. Gnewuch} and \textit{M. Wnuk}, J. Approx. Theory 251, Article ID 105342, 29 p. (2020; Zbl 1434.41028) Full Text: DOI arXiv
Wang, Heping; Xu, Guiqiao Sampling numbers of a class of infinitely differentiable functions. (English) Zbl 1480.65035 J. Math. Anal. Appl. 484, No. 1, Article ID 123689, 14 p. (2020). MSC: 65D05 41A63 PDFBibTeX XMLCite \textit{H. Wang} and \textit{G. Xu}, J. Math. Anal. Appl. 484, No. 1, Article ID 123689, 14 p. (2020; Zbl 1480.65035) Full Text: DOI
Dũng, Dinh; Thao, Mai Xuan Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation. (English) Zbl 1431.41003 J. Approx. Theory 250, Article ID 105338, 30 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A05 41A25 41A58 41A63 PDFBibTeX XMLCite \textit{D. Dũng} and \textit{M. X. Thao}, J. Approx. Theory 250, Article ID 105338, 30 p. (2020; Zbl 1431.41003) Full Text: DOI
Montanelli, Hadrien; Du, Qiang New error bounds for deep ReLU networks using sparse grids. (English) Zbl 1513.68054 SIAM J. Math. Data Sci. 1, No. 1, 78-92 (2019). MSC: 68T07 41A63 PDFBibTeX XMLCite \textit{H. Montanelli} and \textit{Q. Du}, SIAM J. Math. Data Sci. 1, No. 1, 78--92 (2019; Zbl 1513.68054) Full Text: DOI arXiv
Kumar, Angamuthu Sathish; Devaraj, Ponnaian Approximation by generalized Kantorovich sampling type series. (English) Zbl 1467.94018 Kyungpook Math. J. 59, No. 3, 465-480 (2019). Reviewer: Wenchang Sun (Tianjin) MSC: 94A20 41A25 26A15 PDFBibTeX XMLCite \textit{A. S. Kumar} and \textit{P. Devaraj}, Kyungpook Math. J. 59, No. 3, 465--480 (2019; Zbl 1467.94018) Full Text: DOI arXiv
Runovskii, K. V. Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \). (English. Russian original) Zbl 1439.42002 Math. Notes 106, No. 3, 412-422 (2019); translation from Mat. Zametki 106, No. 3, 436-449 (2019). MSC: 42A10 41A17 41A50 46E35 42B35 PDFBibTeX XMLCite \textit{K. V. Runovskii}, Math. Notes 106, No. 3, 412--422 (2019; Zbl 1439.42002); translation from Mat. Zametki 106, No. 3, 436--449 (2019) Full Text: DOI
Haroske, Dorothee D.; Skrzypczak, Leszek Some quantitative result on compact embeddings in smoothness Morrey spaces on bounded domains; an approach via interpolation. (English) Zbl 1445.46036 Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 181-191 (2019). MSC: 46E35 41A46 47B06 PDFBibTeX XMLCite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, Banach Cent. Publ. 119, 181--191 (2019; Zbl 1445.46036) Full Text: DOI
Costarelli, D.; Krivoshein, A.; Skopina, M.; Vinti, G. Quasi-projection operators with applications to differential-difference expansions. (English) Zbl 1433.41010 Appl. Math. Comput. 363, Article ID 124623, 15 p. (2019). MSC: 41A58 41A25 41A63 65Q10 PDFBibTeX XMLCite \textit{D. Costarelli} et al., Appl. Math. Comput. 363, Article ID 124623, 15 p. (2019; Zbl 1433.41010) Full Text: DOI
Akishev, Gabdolla On orders of approximation functions of generalized mixed smoothness in Lorentz spaces. (English) Zbl 1438.41017 Sarajevo J. Math. 15(28), No. 1, 81-96 (2019). MSC: 41A25 41A10 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Sarajevo J. Math. 15(28), No. 1, 81--96 (2019; Zbl 1438.41017) Full Text: arXiv
Werschulz, A. G.; Woźniakowski, H. Tractability of multivariate approximation over weighted standard Sobolev spaces. (English) Zbl 1461.41004 J. Complexity 53, 95-112 (2019). MSC: 41A63 65Y20 68Q30 PDFBibTeX XMLCite \textit{A. G. Werschulz} and \textit{H. Woźniakowski}, J. Complexity 53, 95--112 (2019; Zbl 1461.41004) Full Text: DOI
Dota, Alicja; Skrzypczak, Leszek Some properties of block-radial functions and Schrödinger type operators with block-radial potentials. (English) Zbl 1462.46039 J. Complexity 53, 1-22 (2019). MSC: 46E35 41A46 47B06 PDFBibTeX XMLCite \textit{A. Dota} and \textit{L. Skrzypczak}, J. Complexity 53, 1--22 (2019; Zbl 1462.46039) Full Text: DOI arXiv
Rekatsinas, Nikolaos; Stevenson, Rob An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems. (English) Zbl 1415.65294 Adv. Comput. Math. 45, No. 2, 1031-1066 (2019). MSC: 65T60 65N30 35K20 41A25 41A63 42C40 65N12 PDFBibTeX XMLCite \textit{N. Rekatsinas} and \textit{R. Stevenson}, Adv. Comput. Math. 45, No. 2, 1031--1066 (2019; Zbl 1415.65294) Full Text: DOI
Cobos, Fernando; Kühn, Thomas; Sickel, Winfried On optimal approximation in periodic Besov spaces. (English) Zbl 1421.42002 J. Math. Anal. Appl. 474, No. 2, 1441-1462 (2019). Reviewer: Yamilet del Carmen Quintana Mato (Caracas) MSC: 42A10 41A25 41A63 46E35 47B99 PDFBibTeX XMLCite \textit{F. Cobos} et al., J. Math. Anal. Appl. 474, No. 2, 1441--1462 (2019; Zbl 1421.42002) Full Text: DOI Link
Krieg, David Optimal Monte Carlo methods for \(L^2\)-approximation. (English) Zbl 07036368 Constr. Approx. 49, No. 2, 385-403 (2019). MSC: 65-XX 41A25 41A63 65C05 65D15 65D30 68Q25 65Y20 PDFBibTeX XMLCite \textit{D. Krieg}, Constr. Approx. 49, No. 2, 385--403 (2019; Zbl 07036368) Full Text: DOI arXiv
Hytönen, Tuomas; Merikoski, Jori Vector-valued local approximation spaces. (English) Zbl 1426.46019 J. Fourier Anal. Appl. 25, No. 2, 299-320 (2019). Reviewer: Oscar Blasco (Valencia) MSC: 46E35 41A10 42B25 46B07 60G46 PDFBibTeX XMLCite \textit{T. Hytönen} and \textit{J. Merikoski}, J. Fourier Anal. Appl. 25, No. 2, 299--320 (2019; Zbl 1426.46019) Full Text: DOI arXiv Link
Wang, Kai; Wang, Yali; Zhou, Yinying On the entropy numbers between the anisotropic spaces and the spaces of functions with mixed smoothness. (English) Zbl 1411.41020 Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850065, 19 p. (2019). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A46 41A25 42C40 46E35 PDFBibTeX XMLCite \textit{K. Wang} et al., Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850065, 19 p. (2019; Zbl 1411.41020) Full Text: DOI
Chen, Jia; Wang, Heping Approximation numbers of Sobolev and Gevrey type embeddings on the sphere and on the ball – preasymptotics, asymptotics, and tractability. (English) Zbl 1416.46034 J. Complexity 50, 1-24 (2019). MSC: 46E35 47B06 41A45 PDFBibTeX XMLCite \textit{J. Chen} and \textit{H. Wang}, J. Complexity 50, 1--24 (2019; Zbl 1416.46034) Full Text: DOI arXiv
Werschulz, Arthur G. Tractability of approximation for some weighted spaces of hybrid smoothness. (English) Zbl 1405.47006 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 1215-1242 (2018). MSC: 47B06 46E35 41A63 41A65 35J15 65N30 PDFBibTeX XMLCite \textit{A. G. Werschulz}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 1215--1242 (2018; Zbl 1405.47006) Full Text: DOI
Burenkov, Victor; Ghorbanalizadeh, Arash; Sawano, Yoshihiro Uniform boundedness of Kantorovich operators in Morrey spaces. (English) Zbl 1508.46019 Positivity 22, No. 4, 1097-1107 (2018). MSC: 46E30 46E35 41A10 41A25 42B25 47B92 PDFBibTeX XMLCite \textit{V. Burenkov} et al., Positivity 22, No. 4, 1097--1107 (2018; Zbl 1508.46019) Full Text: DOI
Vasil’eva, A. A. Entropy numbers of embeddings of function spaces on sets with tree-like structure: some generalized limiting cases. (English) Zbl 1410.46025 Russ. J. Math. Phys. 25, No. 2, 248-270 (2018). Reviewer: Hans Triebel (Jena) MSC: 46E35 47B06 41A46 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 25, No. 2, 248--270 (2018; Zbl 1410.46025) Full Text: DOI
Kolomoitsev, Yu.; Krivoshein, A.; Skopina, M. Differential and falsified sampling expansions. (English) Zbl 1402.41008 J. Fourier Anal. Appl. 24, No. 5, 1276-1305 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A58 41A25 41A63 PDFBibTeX XMLCite \textit{Yu. Kolomoitsev} et al., J. Fourier Anal. Appl. 24, No. 5, 1276--1305 (2018; Zbl 1402.41008) Full Text: DOI arXiv
Stabile, R. L. B.; Tozoni, S. A. Estimates for entropy numbers of sets of smooth functions on the torus \(\mathbb{T}^d\). (English) Zbl 1400.41024 J. Approx. Theory 235, 92-115 (2018). MSC: 41A46 42B25 PDFBibTeX XMLCite \textit{R. L. B. Stabile} and \textit{S. A. Tozoni}, J. Approx. Theory 235, 92--115 (2018; Zbl 1400.41024) Full Text: DOI
Adcock, Ben Infinite-dimensional compressed sensing and function interpolation. (English) Zbl 1396.41001 Found. Comput. Math. 18, No. 3, 661-701 (2018). Reviewer: Antonio López Carmona (Granada) MSC: 41A05 41A10 94A12 PDFBibTeX XMLCite \textit{B. Adcock}, Found. Comput. Math. 18, No. 3, 661--701 (2018; Zbl 1396.41001) Full Text: DOI arXiv
Dirksen, Sjoerd; Ullrich, Tino Gelfand numbers related to structured sparsity and Besov space embeddings with small mixed smoothness. (English) Zbl 1470.41025 J. Complexity 48, 69-102 (2018). MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{S. Dirksen} and \textit{T. Ullrich}, J. Complexity 48, 69--102 (2018; Zbl 1470.41025) Full Text: DOI arXiv
Cobos, Fernando; Domínguez, Óscar; Kühn, Thomas Approximation and entropy numbers of embeddings between approximation spaces. (English) Zbl 1396.41027 Constr. Approx. 47, No. 3, 453-486 (2018). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 41A65 46M35 PDFBibTeX XMLCite \textit{F. Cobos} et al., Constr. Approx. 47, No. 3, 453--486 (2018; Zbl 1396.41027) Full Text: DOI
Nguyen Manh Cuong; Mai Xuan Thao Quasi-interpolation representation and sampling recovery of multivariate functions. (English) Zbl 1390.41003 Acta Math. Vietnam. 43, No. 2, 373-389 (2018). MSC: 41A05 41A46 41A63 42C40 PDFBibTeX XMLCite \textit{Nguyen Manh Cuong} and \textit{Mai Xuan Thao}, Acta Math. Vietnam. 43, No. 2, 373--389 (2018; Zbl 1390.41003) Full Text: DOI
Hartmann, Christoph; Weimar, Markus Besov regularity of solutions to the \(p\)-Poisson equation in the vicinity of a vertex of a polygonal domain. (English) Zbl 1387.35043 Result. Math. 73, No. 1, Paper No. 41, 28 p. (2018). MSC: 35B35 35J92 41A25 41A46 46E35 65M99 PDFBibTeX XMLCite \textit{C. Hartmann} and \textit{M. Weimar}, Result. Math. 73, No. 1, Paper No. 41, 28 p. (2018; Zbl 1387.35043) Full Text: DOI
Chkifa, Abdellah; Dexter, Nick; Tran, Hoang; Webster, Clayton G. Polynomial approximation via compressed sensing of high-dimensional functions on lower sets. (English) Zbl 1516.94010 Math. Comput. 87, No. 311, 1415-1450 (2018). MSC: 94A12 41A10 35R60 15B52 60H25 PDFBibTeX XMLCite \textit{A. Chkifa} et al., Math. Comput. 87, No. 311, 1415--1450 (2018; Zbl 1516.94010) Full Text: DOI arXiv
Dinh Dũng B-spline quasi-interpolation sampling representation and sampling recovery in Sobolev spaces of mixed smoothness. (English) Zbl 1382.41009 Acta Math. Vietnam. 43, No. 1, 83-110 (2018). MSC: 41A15 41A05 41A25 41A58 41A63 PDFBibTeX XMLCite \textit{Dinh Dũng}, Acta Math. Vietnam. 43, No. 1, 83--110 (2018; Zbl 1382.41009) Full Text: DOI arXiv
Bazarkhanov, Dauren B. Sparse approximation of some function classes with respect to multiple Haar system on the unit cube. (English) Zbl 1494.46030 Kal’menov, Tynysbek (ed.) et al., International conference ‘Functional analysis in interdisciplinary applications’, FAIA2017, Astana, Kazakhstan, October 2–5, 2017. Proceedings. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1880, 030017, 4 p. (2017). MSC: 46E35 41A30 41A63 PDFBibTeX XMLCite \textit{D. B. Bazarkhanov}, AIP Conf. Proc. 1880, 030017, 4 p. (2017; Zbl 1494.46030) Full Text: DOI
Vasil’eva, Anastasia A. Entropy numbers of embedding operators of function spaces on sets with tree-like structure. (English. Russian original) Zbl 1388.41018 Izv. Math. 81, No. 6, 1095-1142 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 6, 38-85 (2017). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 42B35 46E35 47B06 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Izv. Math. 81, No. 6, 1095--1142 (2017; Zbl 1388.41018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 6, 38--85 (2017) Full Text: DOI
Hakim, Denny Ivanal; Nakamura, Shohei; Sawano, Yoshihiro Complex interpolation of smoothness Morrey subspaces. (English) Zbl 1385.42023 Constr. Approx. 46, No. 3, 489-563 (2017). Reviewer: Koichi Saka (Akita) MSC: 42B35 42C40 41A17 PDFBibTeX XMLCite \textit{D. I. Hakim} et al., Constr. Approx. 46, No. 3, 489--563 (2017; Zbl 1385.42023) Full Text: DOI
Byrenheid, G.; Ullrich, T. Optimal sampling recovery of mixed order Sobolev embeddings via discrete {L}ittlewood–{P}aley type characterizations. (English) Zbl 1389.42001 Anal. Math. 43, No. 2, 133-191 (2017). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 42A10 42A15 41A63 41A17 41A25 PDFBibTeX XMLCite \textit{G. Byrenheid} and \textit{T. Ullrich}, Anal. Math. 43, No. 2, 133--191 (2017; Zbl 1389.42001) Full Text: DOI arXiv
Nguyen, Van Kien; Ullrich, Mario; Ullrich, Tino Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube. (English) Zbl 1376.65028 Constr. Approx. 46, No. 1, 69-108 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 41A63 46E35 47B38 PDFBibTeX XMLCite \textit{V. K. Nguyen} et al., Constr. Approx. 46, No. 1, 69--108 (2017; Zbl 1376.65028) Full Text: DOI arXiv
Trefethen, Lloyd N. Cubature, approximation, and isotropy in the hypercube. (English) Zbl 1406.41011 SIAM Rev. 59, No. 3, 469-491 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 65D32 65Y20 PDFBibTeX XMLCite \textit{L. N. Trefethen}, SIAM Rev. 59, No. 3, 469--491 (2017; Zbl 1406.41011) Full Text: DOI
Griebel, Michael; Oswald, Peter Stable splittings of Hilbert spaces of functions of infinitely many variables. (English) Zbl 1378.46019 J. Complexity 41, 126-151 (2017). MSC: 46C05 46M05 41A63 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{P. Oswald}, J. Complexity 41, 126--151 (2017; Zbl 1378.46019) Full Text: DOI
Krivoshein, A.; Skopina, M. Multivariate sampling-type approximation. (English) Zbl 1366.41020 Anal. Appl., Singap. 15, No. 4, 521-542 (2017). MSC: 41A58 41A63 42C40 94A20 PDFBibTeX XMLCite \textit{A. Krivoshein} and \textit{M. Skopina}, Anal. Appl., Singap. 15, No. 4, 521--542 (2017; Zbl 1366.41020) Full Text: DOI