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Matematicheskie Zametki, 2012, Volume 92, Issue 5, Pages 747–761
DOI: https://doi.org/10.4213/mzm9128 (Mi mzm9128) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mixed Moduli of Smoothness in Mixed Metrics

B. V. Simonov

Volgograd State Technical University
Full-text PDF (519 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9128
Abstract: For a mixed modulus of smoothness of positive order, its relationship with the norms of partial sums of a Fourier series in a mixed metric is obtained. The relation between mixed moduli of smoothness of positive order in different mixed metrics is established.
Keywords: mixed modulus of smoothness, Fourier series, measurable function, mixed metric, the Weyl derivative, trigonometric polynomial, Hölder's inequality.
Received: 03.02.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 5, Pages 686–699
DOI: https://doi.org/10.1134/S0001434612110119
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. V. Simonov, “Mixed Moduli of Smoothness in Mixed Metrics”, Mat. Zametki, 92:5 (2012), 747–761; Math. Notes, 92:5 (2012), 686–699
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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