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Matematicheskie Zametki, 2005, Volume 78, Issue 4, Pages 519–536
DOI: https://doi.org/10.4213/mzm2611 (Mi mzm2611) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Order of Decrease of Uniform Moduli of Smoothness for the Classes of Functions $E_{p,m}[\epsilon]$

N. A. Il'yasov

Baku State University
Full-text PDF (232 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2611
Abstract: In this paper, we solve the problem of the exact order of decrease of uniform moduli of smoothness for the classes of $2\pi$-periodic functions of several variables with a given majorant of the sequence of total best approximations in the metric of $L_p$, $1\le p<\infty$.
Received: 24.11.2000
Revised: 08.04.2002
English version:
Mathematical Notes, 2005, Volume 78, Issue 4, Pages 481–497
DOI: https://doi.org/10.1007/s11006-005-0148-2
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: N. A. Il'yasov, “On the Order of Decrease of Uniform Moduli of Smoothness for the Classes of Functions $E_{p,m}[\epsilon]$”, Mat. Zametki, 78:4 (2005), 519–536; Math. Notes, 78:4 (2005), 481–497
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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