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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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  • https://www.mathnet.ru/eng/mzm2611
  • https://doi.org/10.4213/mzm2611
  • https://www.mathnet.ru/eng/mzm/v78/i4/p519
    • This publication is cited in the following 2 articles:
    1. N. A. Ilyasov, “Mnogomernaya versiya neravenstva tipa Turana i ego prilozhenie k otsenke ravnomernykh modulei gladkosti periodicheskikh funktsii”, Tr. IMM UrO RAN, 25, no. 2, 2019, 102–115  mathnet  crossref  elib
    2. N. A. Ilyasov, “O poryadke ravnomernoi skhodimosti chastnykh kubicheskikh summ kratnykh trigonometricheskikh ryadov Fure na klassakh funktsii $H_{1,m}^{l}[\omega]$”, Tr. IMM UrO RAN, 21, no. 4, 2015, 161–177  mathnet  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :307
    References:101
    First page:1
     
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