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Sbornik: Mathematics, 1996, Volume 187, Issue 7, Pages 981–1004
DOI: https://doi.org/10.1070/SM1996v187n07ABEH000143 (Mi sm143) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Sequences of rectangular Fourier sums of continuous functions with given majorants of the mixed moduli of smoothness

O. V. Davydov

Dnepropetrovsk State University
English version PDF (713 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1996v187n07ABEH000143
Abstract: Approximation by the rectangular Fourier sums $S_N(f)$ is studied for classes of functions of several variables defined in terms of the orders of decrease of the mixed moduli of smoothness. The problem of the existence of a single (independent of $N$) function $f$ on which the order of the approximation in the corresponding class is realized is solved.
Received: 27.09.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 7, Pages 35–58
DOI: https://doi.org/10.4213/sm143
Bibliographic databases:
UDC: 517.5
MSC: Primary 42B05; Secondary 26B05
Language: English
Original paper language: Russian
Citation: O. V. Davydov, “Sequences of rectangular Fourier sums of continuous functions with given majorants of the mixed moduli of smoothness”, Mat. Sb., 187:7 (1996), 35–58; Sb. Math., 187:7 (1996), 981–1004
Citation in format AMSBIB
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\pages 35--58
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    • This publication is cited in the following 1 articles:
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    References:53
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