Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric

DOI10.1007/s11253-010-0311-0zbMath1224.41076OpenAlexW2060886203MaRDI QIDQ3076473

Yu. I. Kharkevych, T. V. Zhygallo

Publication date: 22 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11253-010-0311-0

zbMATH Keywords

approximationPoisson integraluniform metric

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (8)

Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness) ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk ⋮ Approximation of functions from the classes \(W_\beta^r H^\alpha\) by Weierstrass integrals ⋮ Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals ⋮ Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals ⋮ Approximation of the classes $W^{r}_{\beta,\infty}$ by three-harmonic Poisson integrals ⋮ Asymptotics of approximation of conjugate functions by Poisson integrals ⋮ Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)

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