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Matematicheskie Zametki, 2010, Volume 87, Issue 1, Pages 108–121
DOI: https://doi.org/10.4213/mzm4053 (Mi mzm4053) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Best Approximations of Periodic Functions of Several Variables from the Classes $B^\Omega_{p,\theta}$

S. A. Stasyuk

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (510 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm4053
Abstract: We obtain order-sharp estimates of best approximation for the classes $B^\Omega_{p,\theta}$ of periodic functions of several variables by trigonometric polynomials whose spectra are generated by the level surfaces of the function $\Omega(t)$.
Keywords: periodic function of several variables, trigonometric polynomial, level surface, Bari–Stechkin condition, Vallée-Poussin kernel, modulus of continuity, Hölder'd inequality.
Received: 22.05.2007
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 102–114
DOI: https://doi.org/10.1134/S000143461001013X
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: S. A. Stasyuk, “Best Approximations of Periodic Functions of Several Variables from the Classes $B^\Omega_{p,\theta}$”, Mat. Zametki, 87:1 (2010), 108–121; Math. Notes, 87:1 (2010), 102–114
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
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