Approximation of (ψ, β)-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators

DOI10.1007/s11253-005-0262-zzbMath1103.41014OpenAlexW2054401094MaRDI QIDQ5477209

Yu. I. Kharkevych, T. V. Zhyhallo

Publication date: 20 July 2006

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

Full work available at URL: https://doi.org/10.1007/s11253-005-0262-z

zbMATH Keywords

upper boundAbel-Poisson operatorapproximations of function

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (11)

Approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \) ⋮ Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes ⋮ Approximation of continuous functions given on the real axis by three-harmonic Poisson operators ⋮ Fourier transform of the summatory Abel-Poisson function ⋮ Approximation of the classes \({W}_{\beta}^r{H}^{\alpha }\) by three-harmonic Poisson integrals ⋮ Approximation of the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals ⋮ Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals ⋮ On the approximation of functions from the Hölder class given on a segment by their biharmonic Poisson operators ⋮ Approximation of the classes $W^{r}_{\beta,\infty}$ by three-harmonic Poisson integrals ⋮ Asymptotics of approximation of conjugate functions by Poisson integrals ⋮ Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions

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