Chernov, Andreĭ Vladimirovich On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral. (Russian. English summary) Zbl 07724912 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 187-205 (2023). MSC: 41A29 41A30 65D10 65D15 PDFBibTeX XMLCite \textit{A. V. Chernov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 187--205 (2023; Zbl 07724912) Full Text: DOI MNR
Levesley, Jeremy; Sun, Xinping; Jarad, Fahd; Kushpel, Alexander Interpolation of exponential-type functions on a uniform grid by shifts of a basis function. (English) Zbl 1482.30096 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2399-2416 (2021). MSC: 30E05 30C10 PDFBibTeX XMLCite \textit{J. Levesley} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2399--2416 (2021; Zbl 1482.30096) Full Text: DOI
Chernov, A. V. Gaussian functions combined with Kolmogorov’s theorem as applied to approximation of functions of several variables. (English. Russian original) Zbl 1475.41012 Comput. Math. Math. Phys. 60, No. 5, 766-782 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 784-801 (2020). Reviewer: Aurelian Bejancu (Safat) MSC: 41A63 41A30 65D15 65D40 PDFBibTeX XMLCite \textit{A. V. Chernov}, Comput. Math. Math. Phys. 60, No. 5, 766--782 (2020; Zbl 1475.41012); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 784--801 (2020) Full Text: DOI
Hamm, Keaton; Ledford, Jeff Regular families of kernels for nonlinear approximation. (English) Zbl 1416.41020 J. Math. Anal. Appl. 475, No. 2, 1317-1340 (2019). Reviewer: Peter Massopust (München) MSC: 41A30 PDFBibTeX XMLCite \textit{K. Hamm} and \textit{J. Ledford}, J. Math. Anal. Appl. 475, No. 2, 1317--1340 (2019; Zbl 1416.41020) Full Text: DOI arXiv
Hamm, Keaton; Ledford, Jeff Cardinal interpolation with general multiquadrics: convergence rates. (English) Zbl 1394.41001 Adv. Comput. Math. 44, No. 4, 1205-1233 (2018). MSC: 41A05 41A25 41A30 41A63 42B15 PDFBibTeX XMLCite \textit{K. Hamm} and \textit{J. Ledford}, Adv. Comput. Math. 44, No. 4, 1205--1233 (2018; Zbl 1394.41001) Full Text: DOI arXiv
Madych, W. R. Convergence and regularization of sampling series. (English) Zbl 1408.94908 Pesenson, Isaac (ed.) et al., Recent applications of harmonic analysis to function spaces, differential equations, and data science. Novel methods in harmonic analysis. Volume 2. Cham: Birkhäuser/Springer. Appl. Numer. Harmon. Anal., 533-562 (2017). MSC: 94A20 65T99 94A12 PDFBibTeX XMLCite \textit{W. R. Madych}, in: Recent applications of harmonic analysis to function spaces, differential equations, and data science. Novel methods in harmonic analysis. Volume 2. Cham: Birkhäuser/Springer. 533--562 (2017; Zbl 1408.94908) Full Text: DOI
Chernov, Andreĭ Vladimirovich On the application of Gaussian functions for discretization of optimal control problems. (Russian. English summary) Zbl 1402.49026 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 27, No. 4, 558-575 (2017). MSC: 49M25 41A30 49N90 PDFBibTeX XMLCite \textit{A. V. Chernov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 27, No. 4, 558--575 (2017; Zbl 1402.49026) Full Text: DOI MNR
Bouchot, Jean-Luc; Hamm, Keaton Stability and robustness of RBF interpolation. (English) Zbl 1426.41020 Sampl. Theory Signal Image Process. 16, 37-53 (2017). MSC: 41A30 41A25 94A20 PDFBibTeX XMLCite \textit{J.-L. Bouchot} and \textit{K. Hamm}, Sampl. Theory Signal Image Process. 16, 37--53 (2017; Zbl 1426.41020) Full Text: arXiv Link
Hamm, Keaton; Ledford, Jeff Cardinal interpolation with general multiquadrics. (English) Zbl 1355.41002 Adv. Comput. Math. 42, No. 5, 1149-1186 (2016). MSC: 41A05 41A30 41A63 PDFBibTeX XMLCite \textit{K. Hamm} and \textit{J. Ledford}, Adv. Comput. Math. 42, No. 5, 1149--1186 (2016; Zbl 1355.41002) Full Text: DOI arXiv
Hamm, Keaton Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions. (English) Zbl 1305.41026 J. Approx. Theory 189, 101-122 (2015). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 41A30 42A10 PDFBibTeX XMLCite \textit{K. Hamm}, J. Approx. Theory 189, 101--122 (2015; Zbl 1305.41026) Full Text: DOI arXiv
Hangelbroek, T.; Madych, W.; Narcowich, F.; Ward, J. D. Cardinal interpolation with Gaussian kernels. (English) Zbl 1247.41004 J. Fourier Anal. Appl. 18, No. 1, 67-86 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 41A63 42B15 PDFBibTeX XMLCite \textit{T. Hangelbroek} et al., J. Fourier Anal. Appl. 18, No. 1, 67--86 (2012; Zbl 1247.41004) Full Text: DOI arXiv
Schlumprecht, Th.; Sivakumar, N. On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian. (English) Zbl 1166.42017 J. Approx. Theory 159, No. 1, 128-153 (2009). Reviewer: Ole Christensen (Lyngby) MSC: 42C15 41A99 PDFBibTeX XMLCite \textit{Th. Schlumprecht} and \textit{N. Sivakumar}, J. Approx. Theory 159, No. 1, 128--153 (2009; Zbl 1166.42017) Full Text: DOI arXiv