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Sbornik: Mathematics, 1997, Volume 188, Issue 10, Pages 1507–1520
DOI: https://doi.org/10.1070/sm1997v188n10ABEH000265 (Mi sm265) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Estimates of the best approximations of periodic functions by trigonometric polynomials in terms of averaged differences and the multidimensional Jackson's theorem

N. N. Pustovoitov

Moscow State Academy of Automobile and Tractor Construction
English version PDF (202 kB) Citations (12)
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DOI: https://doi.org/10.1070/sm1997v188n10ABEH000265
Abstract: In the first section the best approximations of periodic functions of one real variable by trigonometric polynomials are studied. Estimates of these approximations in terms of averaged differences are obtained. A multidimensional generalization of these estimates is presented in the second section. As a consequence. The multidimensional Jackson's theorem is proved.
Received: 08.02.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 10, Pages 95–108
DOI: https://doi.org/10.4213/sm265
Bibliographic databases:
UDC: 517.5
MSC: 41A17, 41A63, 42A10
Language: English
Original paper language: Russian
Citation: N. N. Pustovoitov, “Estimates of the best approximations of periodic functions by trigonometric polynomials in terms of averaged differences and the multidimensional Jackson's theorem”, Mat. Sb., 188:10 (1997), 95–108; Sb. Math., 188:10 (1997), 1507–1520
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
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    References:61
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