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Matematicheskie Zametki, 2015, Volume 97, Issue 6, Pages 841–854
DOI: https://doi.org/10.4213/mzm10256 (Mi mzm10256) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimates of the Mixed Norms of Derivatives and of the Mixed Moduli of Smoothness of Functions Having Monotone Fourier Coefficients

T. M. Vukolova

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10256
Abstract: Lower and upper bounds for the mixed norms of derivatives and mixed moduli of smoothness of functions having monotone Fourier coefficients are proved.
Keywords: mixed norm of a derivative, mixed modulus of smoothness, Fourier coefficient, Pringsheim convergence, Hardy–Littlewood theorem.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00043
This work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00043).
Received: 20.02.2013
Revised: 03.12.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 6, Pages 854–866
DOI: https://doi.org/10.1134/S0001434615050211
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: T. M. Vukolova, “Estimates of the Mixed Norms of Derivatives and of the Mixed Moduli of Smoothness of Functions Having Monotone Fourier Coefficients”, Mat. Zametki, 97:6 (2015), 841–854; Math. Notes, 97:6 (2015), 854–866
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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