Improvement of Jackson type inequalities for moduli of continuity of order 4, 6, 8

DOI10.1007/S10958-015-2581-4zbMath1331.41016OpenAlexW1917812743MaRDI QIDQ905370

O. L. Vinogradov

Publication date: 19 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2581-4

Mathematics Subject Classification ID

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

Related Items (1)

Estimates for constant in Jackson type inequality for periodic functions

Cites Work

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• The rate of decrease of constants in Jackson type inequalities in dependence of the order of the continuity modulus
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• On constants in the generalized Jackson theorem
• Estimates for functionals with a known, finite set of moments, in terms of moduli of continuity, and behavior of constants, in the Jackson-type inequalities
• Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type

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