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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 246–253
(Mi timm658)
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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
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
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
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https://www.mathnet.ru/eng/timm658 https://www.mathnet.ru/eng/timm/v16/i4/p246
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Abstract page: | 288 | Full-text PDF : | 120 | References: | 48 | First page: | 1 |
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