On the Jackson-Stechkin inequality for algebraic polynomials

DOI10.1134/S0081543811050129zbMath1232.41013OpenAlexW2051399027MaRDI QIDQ643842

A. V. Mironenko

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543811050129

zbMATH Keywords

modulus of continuityJackson inequalityapproximation by algebraic polynomials

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (2)

On constants in the Jackson-Stechkin theorem in the case of approximation by algebraic polynomials ⋮ New recursive representations for the Favard constants with application to multiple singular integrals and summation of series

Cites Work

• Über die Approximation reeller stetigen Funktionen durch gewöhnliche Polynome
• Uniform approximation of differentiable functions by algebraic polynomials
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• Smooth functions
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