Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness

DOI10.1016/j.jmaa.2020.124138zbMath1442.41004OpenAlexW3015716706MaRDI QIDQ2188328

Konstantin V. Runovski, Sergei Yu. Artamonov, Hans-Juergen Schmeisser

Publication date: 10 June 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124138

zbMATH Keywords

moduli of smoothness\( \mathcal{K} \)-functionalsapproximation by bandlimited functions

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Inverse theorems in approximation theory (41A27)

Related Items

Uniform approximation by multivariate quasi-projection operators, A strong converse inequality for generalized sampling operators, A fast converging sampling operator, Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators

Cites Work

• Nonperiodic modulus of smoothness corresponding to the Riesz derivative
• Moduli of smoothness related to the Laplace-operator
• Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case
• Quality of approximation by Fourier means in terms of general moduli of smoothness
• The sampling theorem and linear prediction in signal analysis
• Realization and smoothness related to the Laplacian
• Moduli of smoothness related to fractional Riesz-derivatives
• A direct theorem of approximation theory for a general modulus of smoothness
• Approximation by bandlimited functions, generalized $K$-functionals and generalized moduli of smoothness
• Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions
• A Measure of Smoothnes Related to the Laplacian
• General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators
• Trigonometric polynomial approximation,K-functionals and generalized moduli of smoothness
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