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Matematicheskie Zametki, 2007, Volume 82, Issue 2, Pages 247–261
DOI: https://doi.org/10.4213/mzm3797 (Mi mzm3797) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Best Trigonometric Approximations for Some Classes of Periodic Functions of Several Variables in the Uniform Metric

A. S. Romanyuk

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (536 kB) Citations (22)
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DOI: https://doi.org/10.4213/mzm3797
Abstract: We study best $M$-term trigonometric approximations and best orthogonal trigonometric approximations for the classes $B^r_{p,\theta}$ and $W^r_{p,\alpha}$ of periodic functions of several variables in the uniform metric.
Keywords: best trigonometric approximation, the classes $B^r_{p,\theta}$ and $W^r_{p,\alpha}$ of periodic functions, Minkowski's inequality, Hölder's inequality, Vallée-Poussin kernel.
Received: 28.03.2005
Revised: 17.11.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 2, Pages 216–228
DOI: https://doi.org/10.1134/S0001434607070279
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. S. Romanyuk, “Best Trigonometric Approximations for Some Classes of Periodic Functions of Several Variables in the Uniform Metric”, Mat. Zametki, 82:2 (2007), 247–261; Math. Notes, 82:2 (2007), 216–228
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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