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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 246–253 (Mi timm658)  
This article is cited in 2 scientific papers (total in 2 papers)

On the Jackson–Stechkin inequality for algebraic polynomials

A. V. Mironenko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (157 kB) Citations (2)
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Abstract: The Jackson–Stechkin inequality is considered, which estimates the value of the best uniform approximation of a continuous function by algebraic polynomials on a closed interval in terms of values of the modulus of continuity of the approximated function. A variant of the inequality with second-order modulus of continuity and explicit specification of the argument of the modulus of continuity and the constant is proved.
Keywords: Jackson inequality, approximation by algebraic polynomials, modulus of continuity.
Received: 01.05.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 273, Issue 1, Pages S116–S123
DOI: https://doi.org/10.1134/S0081543811050129
Bibliographic databases:
Document Type: Article
UDC: 517.518.82
Language: Russian
Citation: A. V. Mironenko, “On the Jackson–Stechkin inequality for algebraic polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 246–253; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S116–S123
Citation in format AMSBIB
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\pages 246--253
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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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