Approximation of the classes \({W}_{\beta, \infty}^R\) by generalized Abel-Poisson integrals

DOI10.1007/s11253-022-02084-4OpenAlexW4308587261MaRDI QIDQ2098833

Yu. I. Kharkevych, Inna V. Kal'chuk

Publication date: 22 November 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-02084-4

Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Two-dimensional potential theory (31Axx)

Related Items (6)

Approximate characteristics of generalized Poisson operators on Zygmund classes ⋮ Exact values of the approximations of differentiable functions by Poisson-type integrals ⋮ Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes ⋮ Some applied aspects of the Dirac delta function ⋮ Fourier transform of the summatory Abel-Poisson function ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk

Cites Work

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• On some approximation properties of Gauss-Weierstrass singular operators
• 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
• Approximation of (ψ, β)-differentiable functions defined on the real axis by Weierstrass operators
• Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals
• Asymptotics of approximation of functions by conjugate Poisson integrals

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