Some issues of the theory of approximations by entire functions of exponential type and generalized moduli of smoothness

DOI10.1007/S10598-016-9348-8zbMath1384.41010OpenAlexW2567319605WikidataQ115604878 ScholiaQ115604878MaRDI QIDQ1705391

Sergei Yu. Artamonov

Publication date: 15 March 2018

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-016-9348-8

zbMATH Keywords

moduli of smoothness\(K\)-functionalsconvolution integralsBernstein spaces

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• 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
• A direct theorem of approximation theory for a general modulus of smoothness
• 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
• Unnamed Item
• Unnamed Item

This page was built for publication: Some issues of the theory of approximations by entire functions of exponential type and generalized moduli of smoothness