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Matematicheskie Zametki, 2002, Volume 71, Issue 4, Pages 522–531
DOI: https://doi.org/10.4213/mzm363 (Mi mzm363) 		 
This article is cited in 8 scientific papers (total in 8 papers)

$K$-Functionals and Exact Values of n-Widths of Certain Classes in the Spaces $C(2\pi )$ and $L_1(2\pi )$

S. B. Vakarchuk

Ukrainian Academy of Customs
Full-text PDF (199 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm363
Abstract: For classes of $2\pi$-periodic functions whose $K$-functionals are majorized by functions satisfying certain constraints, exact values of Kolmogorov, Bernstein, and trigonometric $n$-widths in the spaces $C(2\pi )$ and $L_1(2\pi )$ are obtained. Examples of majorants that satisfy the requirements stated in this paper are given.
Received: 07.07.1999
Revised: 27.07.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 4, Pages 477–485
DOI: https://doi.org/10.1023/A:1014823613463
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. B. Vakarchuk, “$K$-Functionals and Exact Values of n-Widths of Certain Classes in the Spaces $C(2\pi )$ and $L_1(2\pi )$”, Mat. Zametki, 71:4 (2002), 522–531; Math. Notes, 71:4 (2002), 477–485
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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