Quality of approximation by Fourier means in terms of general moduli of smoothness

DOI10.1134/S0001434615070019zbMath1325.41006MaRDI QIDQ887468

Sergei Yu. Artamonov

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Bernstein inequalityRiesz derivativeFejér meanRogozinskii meanFourier meangeneral modulus of smoothnessJackson-type estimateplanar partition of unity

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (3)

Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness ⋮ Some issues of the theory of approximations by entire functions of exponential type and generalized moduli of smoothness ⋮ On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \)

Cites Work

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• A direct theorem of approximation theory for a general modulus of smoothness
• Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions
• On Jackson's inequality for a generalized modulus of continuity in $ L_2$
• General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators
• The exact order of approximation to periodic functions by Bernstein-Stechkin polynomials

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