On the approximation of functions from the Hölder class given on a segment by their biharmonic Poisson operators

DOI10.1007/s11253-019-01696-7zbMath1434.42004OpenAlexW2990148612MaRDI QIDQ2303010

T. V. Zhyhallo, K. M. Zhyhallo

Publication date: 28 February 2020

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

Full work available at URL: https://doi.org/10.1007/s11253-019-01696-7

zbMATH Keywords

Chebyshev polynomialFourier-Chebyshev series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by other special function classes (41A30)

Related Items (1)

Taylor series of biharmonic Poisson integral for upper half-plane

Cites Work

• Uniform approximation of functions on an interval
• Approximating properties of biharmonic Poisson operators in the classes \(\widehat{L}_{\beta,1}^\psi\)
• Approximative properties of biharmonic Poisson integrals on Hölder classes
• On the approximation of the classes \(W_\beta^r H^\alpha\) by biharmonic Poisson integrals
• On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
• Approximation of conjugate differentiable functions by their Abel–Poisson integrals
• Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis
• Approximation of functions from the class ${\ifmmode\expandafter\hat\else\expandafter\^\fi{C}}^\psi_{\beta,\infty}$ by Poisson biharmonic operators in the uniform metric
• Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals
• Asymptotics of approximation of conjugate functions by Poisson integrals
• Approximation of (ψ, β)-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
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