Kashin, B.; Konyagin, S.; Temlyakov, V. Sampling discretization of the uniform norm. (English) Zbl 1528.41067 Constr. Approx. 57, No. 2, 663-694 (2023). MSC: 41A46 42A10 PDFBibTeX XMLCite \textit{B. Kashin} et al., Constr. Approx. 57, No. 2, 663--694 (2023; Zbl 1528.41067) Full Text: DOI arXiv
Kashin, B.; Kosov, E.; Limonova, I.; Temlyakov, V. Sampling discretization and related problems. (English) Zbl 1503.41001 J. Complexity 71, Article ID 101653, 55 p. (2022). MSC: 41-02 41A05 41A25 41A44 42A05 PDFBibTeX XMLCite \textit{B. Kashin} et al., J. Complexity 71, Article ID 101653, 55 p. (2022; Zbl 1503.41001) Full Text: DOI arXiv
Kashin, Boris S. Lower bounds for \(m\)-term approximations in the metric of the discrete space \(L^0_n\). (English. Russian original) Zbl 1501.41008 Russ. Math. Surv. 76, No. 5, 933-935 (2021); translation from Usp. Mat. Nauk 76, No. 5, 199-200 (2021). MSC: 41A45 PDFBibTeX XMLCite \textit{B. S. Kashin}, Russ. Math. Surv. 76, No. 5, 933--935 (2021; Zbl 1501.41008); translation from Usp. Mat. Nauk 76, No. 5, 199--200 (2021) Full Text: DOI
Kashin, B. S.; Malykhin, Yu. V.; Ryutin, K. S. Kolmogorov width and approximate rank. (English. Russian original) Zbl 1426.41016 Proc. Steklov Inst. Math. 303, 140-153 (2018); translation from Tr. Mat. Inst. Steklova 303, 155-168 (2018). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A25 PDFBibTeX XMLCite \textit{B. S. Kashin} et al., Proc. Steklov Inst. Math. 303, 140--153 (2018; Zbl 1426.41016); translation from Tr. Mat. Inst. Steklova 303, 155--168 (2018) Full Text: DOI
Kashin, Boris S.; Temlyakov, Vladimir N. Observations on discretization of trigonometric polynomials with given spectrum. (English. Russian original) Zbl 1430.42002 Russ. Math. Surv. 73, No. 6, 1128-1130 (2018); translation from Usp. Mat. Nauk 73, No. 6, 197-198 (2018). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 42A05 41A46 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{V. N. Temlyakov}, Russ. Math. Surv. 73, No. 6, 1128--1130 (2018; Zbl 1430.42002); translation from Usp. Mat. Nauk 73, No. 6, 197--198 (2018) Full Text: DOI
Bourgain, J.; Kashin, B. S. Uniform approximation of partial sums of a Dirichlet series by shorter sums and \(\Phi\)-widths. (English. Russian original) Zbl 1282.30003 Sb. Math. 203, No. 12, 1736-1760 (2012); translation from Mat. Sb. 203, No. 12, 57-80 (2012). Reviewer: Peter Bundschuh (Köln) MSC: 30B50 41A46 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{B. S. Kashin}, Sb. Math. 203, No. 12, 1736--1760 (2012; Zbl 1282.30003); translation from Mat. Sb. 203, No. 12, 57--80 (2012) Full Text: DOI
Kashin, B. S. Remark on estimates of orthomassivity. (English. Russian original) Zbl 1219.41028 Math. Notes 84, No. 6, 879-882 (2008); translation from Mat. Zametki 84, No. 6, 948-951 (2008). MSC: 41A65 46C05 PDFBibTeX XMLCite \textit{B. S. Kashin}, Math. Notes 84, No. 6, 879--882 (2008; Zbl 1219.41028); translation from Mat. Zametki 84, No. 6, 948--951 (2008) Full Text: DOI
Kashin, B. S.; Temlyakov, V. N. A remark on compressed sensing. (English. Russian original) Zbl 1155.94014 Math. Notes 82, No. 6, 748-755 (2007); translation from Mat. Zametki 82, No. 6, 829-837 (2007). Reviewer: Kai Diethelm (Braunschweig) MSC: 94A20 94A08 41A46 46B20 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{V. N. Temlyakov}, Math. Notes 82, No. 6, 748--755 (2007; Zbl 1155.94014); translation from Mat. Zametki 82, No. 6, 829--837 (2007) Full Text: DOI
Kashin, B. S. (ed.) Function spaces, approximation theory, and nonlinear analysis. Selected papers of the international conference, Moscow, Russia, May 2005. Dedicated to the 100th birthday of Academician S. M. Nikol’skiĭ. Transl. from the Russian. (English) Zbl 1144.41300 Proc. Steklov Inst. Math. 255, 274 p. (2006). MSC: 41-06 52-06 35-06 00B25 00B30 PDFBibTeX XML
Kashin, B. S.; Temlyakov, V. N. The volume estimates and their applications. (English) Zbl 1111.41019 East J. Approx. 9, No. 4, 469-485 (2003). MSC: 41A46 41A63 42B05 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{V. N. Temlyakov}, East J. Approx. 9, No. 4, 469--485 (2003; Zbl 1111.41019)
Kashin, B. S. On lower estimates for \(n\)-term approximation in Hilbert spaces. (English) Zbl 1038.41007 Bojanov, B. D. (ed.), Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA (ISBN 954-90126-5-4/hbk). 241-257 (2002). Reviewer: Laszlo Leindler (Szeged) MSC: 41A25 41A65 41A45 PDFBibTeX XMLCite \textit{B. S. Kashin}, in: Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA. 241--257 (2002; Zbl 1038.41007)
Kashin, B. S. Lower bounds for \(n\)-term approximations of plane convex sets and related topics. (English. Russian original) Zbl 1051.41013 Math. Notes 72, No. 4, 473-478 (2002); translation from Mat. Zametki 72, No. 4, 509-515 (2002). MSC: 41A30 PDFBibTeX XMLCite \textit{B. S. Kashin}, Math. Notes 72, No. 4, 473--478 (2002; Zbl 1051.41013); translation from Mat. Zametki 72, No. 4, 509--515 (2002) Full Text: DOI
Kashin, B. S.; Kulikova, T. Yu. A note on the approximation properties of frames of general form. (English. Russian original) Zbl 1051.42020 Math. Notes 72, No. 2, 281-284 (2002); translation from Mat. Zametki 72, No. 2, 312-315 (2002). Reviewer: Manfred Tasche (Rostock) MSC: 42C15 41A65 42C40 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{T. Yu. Kulikova}, Math. Notes 72, No. 2, 281--284 (2002; Zbl 1051.42020); translation from Mat. Zametki 72, No. 2, 312--315 (2002) Full Text: DOI
Kashin, B. S. Lower bounds for \(n\)-term approximations. (English. Russian original) Zbl 1043.41018 Math. Notes 70, No. 4, 574-576 (2001); translation from Mat. Zametki 70, No. 4, 636-638 (2001). Reviewer: Eleonora Storozhenko (Odessa) MSC: 41A45 41A30 42C05 46B20 42C30 PDFBibTeX XMLCite \textit{B. S. Kashin}, Math. Notes 70, No. 4, 574--576 (2001; Zbl 1043.41018); translation from Mat. Zametki 70, No. 4, 636--638 (2001) Full Text: DOI
Kashin, B. S.; Kornejchuk, N. P.; Ul’yanov, P. L.; Shevchuk, I. A.; Andrienko, V. A. A brief survey of scientific results of E. A. Storozhenko. (English. Russian original) Zbl 0976.41003 Ukr. Math. J. 52, No. 4, 531-542 (2000); translation from Ukr. Mat. Zh. 52, No. 4, 463-473 (2000). MSC: 41-02 01A70 PDFBibTeX XMLCite \textit{B. S. Kashin} et al., Ukr. Mat. Zh. 52, No. 4, 463--473 (2000; Zbl 0976.41003); translation from Ukr. Mat. Zh. 52, No. 4, 463--473 (2000) Full Text: DOI
Kashin, B. S.; Temlyakov, V. N. On a certain norm and related applications. (English. Russian original) Zbl 0955.42002 Math. Notes 64, No. 4, 551-554 (1998); translation from Mat. Zametki 64, No. 4, 637-640 (1998). Reviewer: Yuri A.Brudnyi (Haifa) MSC: 42A05 41A46 42A10 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{V. N. Temlyakov}, Math. Notes 64, No. 4, 551--554 (1998; Zbl 0955.42002); translation from Mat. Zametki 64, No. 4, 637--640 (1998) Full Text: DOI
Kashin, B. S.; Temlyakov, V. N. Estimate of approximate characteristics for classes of functions with bounded mixed derivative. (English. Russian original) Zbl 0878.46023 Math. Notes 58, No. 6, 1340-1342 (1995); translation from Mat. Zametki 58, No. 6, 922-925 (1995). Reviewer: T.Feeman (Villanova) MSC: 46E35 41A46 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{V. N. Temlyakov}, Math. Notes 58, No. 6, 1340--1342 (1995; Zbl 0878.46023); translation from Mat. Zametki 58, No. 6, 922--925 (1995) Full Text: DOI
Kashin, B. S.; Temlyakov, V. N. On best \(m\)-term approximations and the entropy of sets in the space \(L^ 1\). (English. Russian original) Zbl 0836.41008 Math. Notes 56, No. 5, 1137-1157 (1994); translation from Mat. Zametki 56, No. 5, 57-86 (1994). Reviewer: L.Leindler (Szeged) MSC: 41A10 41A25 41A46 42B99 PDFBibTeX XMLCite \textit{B. S. Kashin} and \textit{V. N. Temlyakov}, Math. Notes 56, No. 5, 1137--1157 (1994; Zbl 0836.41008); translation from Mat. Zametki 56, No. 5, 57--86 (1994) Full Text: DOI
Kashin, B. S. On a group of diameter problems. (English. Russian original) Zbl 0712.42033 Mosc. Univ. Math. Bull. 43, No. 5, 74-76 (1988); translation from Vestn. Mosk. Univ., Ser. I 1988, No. 5, 64-66 (1988). MSC: 42C05 41A46 PDFBibTeX XMLCite \textit{B. S. Kashin}, Mosc. Univ. Math. Bull. 43, No. 5, 74--76 (1988; Zbl 0712.42033); translation from Vestn. Mosk. Univ., Ser. I 1988, No. 5, 64--66 (1988)
Kashin, B. S. On some group of problems on diameters. (Russian) Zbl 0685.42009 Vestn. Mosk. Univ., Ser. I 1988, No. 5, 64-66 (1988). Reviewer: Xie-Chang Shen MSC: 42C05 41A46 PDFBibTeX XMLCite \textit{B. S. Kashin}, Vestn. Mosk. Univ., Ser. I 1988, No. 5, 64--66 (1988; Zbl 0685.42009)
Kashin, B. S. On approximation properties of complete orthonormal systems. (English) Zbl 0635.42030 Proc. Steklov Inst. Math. 172, 207-211 (1987). MSC: 42C30 41A30 42C15 PDFBibTeX XMLCite \textit{B. S. Kashin}, Proc. Steklov Inst. Math. 172, 207--211 (1987; Zbl 0635.42030)
Kashin, B. S. Diameters of Sobolev classes with a low order of smoothness. (English) Zbl 0489.46026 Mosc. Univ. Math. Bull. 36, No. 5, 62-66 (1981). MSC: 46E35 41A45 PDFBibTeX XMLCite \textit{B. S. Kashin}, Mosc. Univ. Math. Bull. 36, No. 5, 62--66 (1981; Zbl 0489.46026)
Kashin, B. S. On the diameters of Sobolev classes of small smoothness. (English) Zbl 0474.46025 Vestn. Mosk. Univ., Ser. I 1981, No. 5, 50-54 (1981). MSC: 46E35 41A45 PDFBibTeX XMLCite \textit{B. S. Kashin}, Vestn. Mosk. Univ., Ser. I 1981, No. 5, 50--54 (1981; Zbl 0474.46025)
Kashin, B. S. On estimates of diameters. (English) Zbl 0485.41023 Quantitative approximation, Proc. int. Symp., Bonn 1979, 177-184 (1980). MSC: 41A46 PDFBibTeX XML
Kashin, B. S. General orthonormal systems and certain problems of approximation theory. (English. Russian original) Zbl 0427.42009 Math. Notes 26, 641-650 (1980); translation from Mat. Zametki 26, 299-315 (1979). MSC: 42C15 41A25 42C20 42C10 40G05 PDFBibTeX XMLCite \textit{B. S. Kashin}, Math. Notes 26, 641--650 (1979; Zbl 0427.42009); translation from Mat. Zametki 26, 299--315 (1979) Full Text: DOI
Kasin, B. S. Coefficients in the expansion of a certain class of functions with respect to complete systems. (English) Zbl 0409.42020 Sib. Math. J. 18, 91-99 (1977). MSC: 42C15 41A60 42C30 PDFBibTeX XMLCite \textit{B. S. Kasin}, Sib. Math. J. 18, 91--99 (1977; Zbl 0409.42020) Full Text: DOI
Kasin, B. S. Über die Koeffizienten der Entwicklung einer Klasse von Funktionen nach vollständigen Systemen. (Russian) Zbl 0362.42004 Sib. Mat. Zh. 18, 122-131 (1977). MSC: 42C15 41A60 42A65 PDFBibTeX XMLCite \textit{B. S. Kasin}, Sib. Mat. Zh. 18, 122--131 (1977; Zbl 0362.42004)