Vasil’eva, A. A. Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero. (English) Zbl 1471.41013 J. Approx. Theory 269, Article ID 105602, 34 p. (2021). Reviewer: Allan Pinkus (Haifa) MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, J. Approx. Theory 269, Article ID 105602, 34 p. (2021; Zbl 1471.41013) Full Text: DOI arXiv
Doss, Charles R. Bracketing numbers of convex and \(m\)-monotone functions on polytopes. (English) Zbl 1439.52009 J. Approx. Theory 256, Article ID 105425, 32 p. (2020). MSC: 52A41 41A46 52A27 52B11 52C17 62G20 PDFBibTeX XMLCite \textit{C. R. Doss}, J. Approx. Theory 256, Article ID 105425, 32 p. (2020; Zbl 1439.52009) Full Text: DOI arXiv
Fischer, Simon Some new bounds on the entropy numbers of diagonal operators. (English) Zbl 1448.47030 J. Approx. Theory 251, Article ID 105343, 14 p. (2020). Reviewer: Daniele Puglisi (Catania) MSC: 47B06 46B45 PDFBibTeX XMLCite \textit{S. Fischer}, J. Approx. Theory 251, Article ID 105343, 14 p. (2020; Zbl 1448.47030) Full Text: DOI arXiv
Lewis, Duaine; Sing, Bernd An upper bound on the Kolmogorov widths of a certain family of integral operators. (English) Zbl 1414.41017 J. Approx. Theory 240, 71-95 (2019). MSC: 41A46 47G10 PDFBibTeX XMLCite \textit{D. Lewis} and \textit{B. Sing}, J. Approx. Theory 240, 71--95 (2019; Zbl 1414.41017) Full Text: DOI arXiv
Ehler, Martin; Filbir, Frank Metric entropy, \(n\)-widths, and sampling of functions on manifolds. (English) Zbl 1388.41017 J. Approx. Theory 225, 41-57 (2018). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 42A10 PDFBibTeX XMLCite \textit{M. Ehler} and \textit{F. Filbir}, J. Approx. Theory 225, 41--57 (2018; Zbl 1388.41017) Full Text: DOI arXiv
Floater, Michael S.; Sande, Espen Optimal spline spaces of higher degree for \(L^2\) \(n\)-widths. (English) Zbl 1358.41007 J. Approx. Theory 216, 1-15 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A44 47G10 PDFBibTeX XMLCite \textit{M. S. Floater} and \textit{E. Sande}, J. Approx. Theory 216, 1--15 (2017; Zbl 1358.41007) Full Text: DOI
Brudnyi, Alexander On Bernstein classes of well approximable maps. (English) Zbl 1334.41044 J. Approx. Theory 200, 259-293 (2015). Reviewer: Bilal Bilalov (Baku) MSC: 41A65 30D60 PDFBibTeX XMLCite \textit{A. Brudnyi}, J. Approx. Theory 200, 259--293 (2015; Zbl 1334.41044) Full Text: DOI arXiv
Vasil’eva, A. A. Widths of function classes on sets with tree-like structure. (English) Zbl 1312.41035 J. Approx. Theory 192, 19-59 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, J. Approx. Theory 192, 19--59 (2015; Zbl 1312.41035) Full Text: DOI arXiv
Stasyuk, Serhii A. Best \(m\)-term trigonometric approximation of periodic functions of several variables from Nikol’skii-Besov classes for small smoothness. (English) Zbl 1480.42003 J. Approx. Theory 177, 1-16 (2014). MSC: 42A10 41A50 41A46 41A65 PDFBibTeX XMLCite \textit{S. A. Stasyuk}, J. Approx. Theory 177, 1--16 (2014; Zbl 1480.42003) Full Text: DOI
Edmunds, D. E.; Netrusov, Yu. Schütt’s theorem for vector-valued sequence spaces. (English) Zbl 1286.47015 J. Approx. Theory 178, 13-21 (2014). Reviewer: Allan Pinkus (Haifa) MSC: 47B06 41A46 PDFBibTeX XMLCite \textit{D. E. Edmunds} and \textit{Yu. Netrusov}, J. Approx. Theory 178, 13--21 (2014; Zbl 1286.47015) Full Text: DOI arXiv
Hansen, Markus; Sickel, Winfried Best \(m\)-term approximation and Lizorkin-Triebel spaces. (English) Zbl 1229.41028 J. Approx. Theory 163, No. 8, 923-954 (2011). Reviewer: Alexey Alimov (Moskva) MSC: 41A50 42C40 PDFBibTeX XMLCite \textit{M. Hansen} and \textit{W. Sickel}, J. Approx. Theory 163, No. 8, 923--954 (2011; Zbl 1229.41028) Full Text: DOI
Setzer, S.; Steidl, G.; Teuber, T.; Moerkotte, G. Approximation related to quotient functionals. (English) Zbl 1194.41036 J. Approx. Theory 162, No. 3, 545-558 (2010). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A50 PDFBibTeX XMLCite \textit{S. Setzer} et al., J. Approx. Theory 162, No. 3, 545--558 (2010; Zbl 1194.41036) Full Text: DOI
Arias-Castro, Ery; Efros, Boris; Levi, Ofer Networks of polynomial pieces with application to the analysis of point clouds and images. (English) Zbl 1190.42015 J. Approx. Theory 162, No. 1, 94-130 (2010). Reviewer: Qiyu Sun (Orlando) MSC: 42C40 PDFBibTeX XMLCite \textit{E. Arias-Castro} et al., J. Approx. Theory 162, No. 1, 94--130 (2010; Zbl 1190.42015) Full Text: DOI arXiv
Xu, Guiqiao The relative \(n\)-widths of Sobolev classes with restrictions. (English) Zbl 1165.41006 J. Approx. Theory 157, No. 1, 19-31 (2009). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A46 41A50 PDFBibTeX XMLCite \textit{G. Xu}, J. Approx. Theory 157, No. 1, 19--31 (2009; Zbl 1165.41006) Full Text: DOI
Konovalov, V. N.; Leviatan, D. Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II. (English) Zbl 0992.41013 J. Approximation Theory 113, No. 2, 266-297 (2001). Reviewer: Saulius Norvidas (Vilnius) MSC: 41A46 46A35 PDFBibTeX XMLCite \textit{V. N. Konovalov} and \textit{D. Leviatan}, J. Approx. Theory 113, No. 2, 266--297 (2001; Zbl 0992.41013) Full Text: DOI
Belinsky, E. S. Metric entropy of subsets of absolutely convergent Fourier series. (English) Zbl 1039.42002 J. Approximation Theory 110, No. 2, 229-235 (2001). Reviewer: Elena E. Berdysheva (Stuttgart) MSC: 42A20 41A46 42A16 PDFBibTeX XMLCite \textit{E. S. Belinsky}, J. Approx. Theory 110, No. 2, 229--235 (2001; Zbl 1039.42002) Full Text: DOI
Magaril-Il’yaev, Georgii G.; Osipenko, Konstantin Yu.; Tikhomirov, Vladimir M. On exact values of \(n\)-widths in a Hilbert space. (English) Zbl 0976.41025 J. Approximation Theory 108, No. 1, 97-117 (2001). Reviewer: Saulius Norvidas (Vilnius) MSC: 41A46 PDFBibTeX XMLCite \textit{G. G. Magaril-Il'yaev} et al., J. Approx. Theory 108, No. 1, 97--117 (2001; Zbl 0976.41025) Full Text: DOI
Tikhomirov, Vladimir M. Commentary on the article by V. L. Goncharov, “The theory of the best approximation of functions”. (English) Zbl 0974.41020 J. Approximation Theory 106, No. 1, 58-65 (2000). Reviewer: Wolfgang Castell (Erlangen) MSC: 41A50 01A70 PDFBibTeX XMLCite \textit{V. M. Tikhomirov}, J. Approx. Theory 106, No. 1, 58--65 (2000; Zbl 0974.41020) Full Text: DOI
Dung, Dinh Continuous algorithms in \(n\)-term approximation and nonlinear widths. (English) Zbl 0951.41011 J. Approximation Theory 102, No. 2, 217-242 (2000). Reviewer: S.Norvidas (Vilnius) MSC: 41A46 41A25 41-02 PDFBibTeX XMLCite \textit{D. Dung}, J. Approx. Theory 102, No. 2, 217--242 (2000; Zbl 0951.41011) Full Text: DOI
Skiba, N.; Zahariuta, V. Asymptotics of Kolmogorov diameters for some classes of harmonic functions of spheroids. (English) Zbl 1030.46024 J. Approximation Theory 102, No. 2, 175-188 (2000). Reviewer: Thanh Van Nguyen (Toulouse) MSC: 46E15 31C05 PDFBibTeX XMLCite \textit{N. Skiba} and \textit{V. Zahariuta}, J. Approx. Theory 102, No. 2, 175--188 (2000; Zbl 1030.46024) Full Text: DOI
Butzer, Paul; Jongmans, François P. L. Chebyshev (1821-1894). A guide to his life and work. (English) Zbl 0934.01017 J. Approximation Theory 96, No. 1, 111-138 (1999). Reviewer: J.J.Cross (Melbourne) MSC: 01A70 01A55 PDFBibTeX XMLCite \textit{P. Butzer} and \textit{F. Jongmans}, J. Approx. Theory 96, No. 1, 111--138 (1999; Zbl 0934.01017) Full Text: DOI
DeVore, R. A.; Kyriazis, G. C.; Wang, P. Multiscale characterizations of Besov spaces on bounded domains. (English) Zbl 0922.46029 J. Approximation Theory 93, No. 2, 273-292 (1998). Reviewer: M.Z.Nashed (Newark/Delaware) MSC: 46E35 42C15 41A63 41A17 PDFBibTeX XMLCite \textit{R. A. DeVore} et al., J. Approx. Theory 93, No. 2, 273--292 (1998; Zbl 0922.46029) Full Text: DOI Link
Dinh-Dung The sampling theorem, \(L^ T_ q\)-approximation and \(\epsilon\)- dimension. (English) Zbl 0766.41035 J. Approximation Theory 70, No. 1, 1-15 (1992). Reviewer: S.Cobzaş (Cluj-Napoca) MSC: 41A65 41A46 94A11 PDFBibTeX XMLCite \textit{Dinh-Dung}, J. Approx. Theory 70, No. 1, 1--15 (1992; Zbl 0766.41035) Full Text: DOI
Mityagin, Boris; Torok, Joseph Optimal subspaces for n-widths of p-ellipsoids. (English) Zbl 0552.41016 J. Approximation Theory 34, 91-96 (1982). Reviewer: P.L.Papini MSC: 41A46 PDFBibTeX XMLCite \textit{B. Mityagin} and \textit{J. Torok}, J. Approx. Theory 34, 91--96 (1982; Zbl 0552.41016) Full Text: DOI
Barrar, R. B.; Loeb, H. L. The fundamental theorem of algebra and the interpolating envelope for totally positive perfect splines. (English) Zbl 0489.41013 J. Approximation Theory 34, 167-186 (1982). MSC: 41A15 PDFBibTeX XMLCite \textit{R. B. Barrar} and \textit{H. L. Loeb}, J. Approx. Theory 34, 167--186 (1982; Zbl 0489.41013) Full Text: DOI
Whitley, Robert Markov and Bernstein’s inequalities and compact and strictly singular operators. (English) Zbl 0487.41015 J. Approximation Theory 34, 277-285 (1982). MSC: 41A17 41A36 PDFBibTeX XMLCite \textit{R. Whitley}, J. Approx. Theory 34, 277--285 (1982; Zbl 0487.41015) Full Text: DOI
Brown, A. L. Finite rank approximations to integral operators which satisfy certain total positivity conditions. (English) Zbl 0485.41022 J. Approximation Theory 34, 42-90 (1982). MSC: 41A46 41A35 41A15 47A99 PDFBibTeX XMLCite \textit{A. L. Brown}, J. Approx. Theory 34, 42--90 (1982; Zbl 0485.41022) Full Text: DOI
Carl, Bernd Entropy numbers of diagonal operators with an application to eigenvalue problems. (English) Zbl 0475.41027 J. Approximation Theory 32, 135-150 (1981). MSC: 41A46 47B06 47B37 47A70 PDFBibTeX XMLCite \textit{B. Carl}, J. Approx. Theory 32, 135--150 (1981; Zbl 0475.41027) Full Text: DOI
Trefethen, Lloyd N. Near-circularity of the error curve in complex Chebyshev approximation. (English) Zbl 0462.41004 J. Approximation Theory 31, 344-367 (1981). MSC: 41A10 30E10 41A50 41A20 PDFBibTeX XMLCite \textit{L. N. Trefethen}, J. Approx. Theory 31, 344--367 (1981; Zbl 0462.41004) Full Text: DOI
Forst, Wilhelm Über die Breite von Klassen holomorpher periodischer Funktionen. (German) Zbl 0417.41011 J. Approximation Theory 19, 325-331 (1977). MSC: 41A46 41A65 PDFBibTeX XMLCite \textit{W. Forst}, J. Approx. Theory 19, 325--331 (1977; Zbl 0417.41011) Full Text: DOI
Forst, Wilhelm Optimale Hermite-Interpolation differenzierbarer periodischer Funktionen. (German) Zbl 0352.41005 J. Approximation Theory 20, 333-347 (1977). MSC: 41A05 41A15 65D05 PDFBibTeX XMLCite \textit{W. Forst}, J. Approx. Theory 20, 333--347 (1977; Zbl 0352.41005) Full Text: DOI
Hutton, C. V.; Morrell, J. S.; Retherford, J. R. Diagonal operators, approximation numbers, and Kolmogoroff diameters. (English) Zbl 0325.46028 J. Approximation Theory 16, 48-80 (1976). MSC: 46B15 46B99 PDFBibTeX XMLCite \textit{C. V. Hutton} et al., J. Approx. Theory 16, 48--80 (1976; Zbl 0325.46028) Full Text: DOI
Fisher, S. D.; Jerome, J. W. Spline solutions to L\(^1\) extremal problems in one and several variables. (English) Zbl 0295.49002 J. Approximation Theory 13, 73-83 (1975). MSC: 49J05 49J15 49J30 49K15 PDFBibTeX XMLCite \textit{S. D. Fisher} and \textit{J. W. Jerome}, J. Approx. Theory 13, 73--83 (1975; Zbl 0295.49002) Full Text: DOI
Dudley, R. M. Metric entropy of some classes of sets with differentiable boundaries. (English) Zbl 0275.41011 J. Approximation Theory 10, 227-236 (1974). MSC: 41A45 41A63 26A51 PDFBibTeX XMLCite \textit{R. M. Dudley}, J. Approx. Theory 10, 227--236 (1974; Zbl 0275.41011) Full Text: DOI
Helfrich, Hans-Peter Optimale lineare Approximation beschränkter Mengen in normierten Räumen. (Optimal linear approximation of bounded sets in normed spaces). (English) Zbl 0225.41005 J. Approximation Theory 4, 165-182 (1971). MSC: 41A65 46B20 51B20 46E35 46C05 PDFBibTeX XMLCite \textit{H.-P. Helfrich}, J. Approx. Theory 4, 165--182 (1971; Zbl 0225.41005) Full Text: DOI