Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators

DOI10.1007/s11253-017-1394-7zbMath1499.41036arXiv1609.09615OpenAlexW2767072991MaRDI QIDQ1729635

V. V. Savchuk, Jürgen Prestin, Andrii Shidlich

Publication date: 27 February 2019

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

Full work available at URL: https://arxiv.org/abs/1609.09615

zbMATH Keywords

approximation of \(2\pi\)-periodic functionsTaylor-Abel-Poisson operators

Mathematics Subject Classification ID

Inverse theorems in approximation theory (41A27)

Related Items (4)

Bernstein-Jackson inequalities on Gaussian Hilbert spaces ⋮ Approximation on hexagonal domains by Taylor-Abel-Poisson means ⋮ Approximation of functions by linear summation methods in the Orlicz-type spaces ⋮ Approximation by interpolation spectral subspaces of operators with discrete spectrum

Cites Work

• On the order of approximation by Euler and Taylor means
• Approximation theorems for semi-groups of bounded linear transformations
• Beziehungen zwischen den Riemannschen, Taylorschen und gewöhnlichen Ableitungen reellwertiger Funktionen
• Functions of class Lip(\(\alpha\) ,p) and their Taylor mean
• Approximation of classes of convolutions by linear operators of special form
• Approximation theorems for the solution of Fourier's problem and Dirichlet's problem
• Approximationssätze für stetige Operatoren
• Approximation of functions of several variables by linear methods in the space Sp
• Approximation of holomorphic functions by Taylor-Abel-Poisson means
• Approximation of 2π-periodic functions by Taylor—Abel—Poisson operators in the integral metric
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