Approximation of functions from the class ${\ifmmode\expandafter\hat\else\expandafter\^\fi{C}}^\psi_{\beta,\infty}$ by Poisson biharmonic operators in the uniform metric
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Publication:3607339
DOI10.1007/s11253-008-0093-9zbMath1164.41335OpenAlexW2038794736MaRDI QIDQ3607339
Yu. I. Kharkevych, T. V. Zhygallo
Publication date: 28 February 2009
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-008-0093-9
Related Items (14)
On the approximation of the classes \(W_\beta^r H^\alpha\) by biharmonic Poisson integrals ⋮ On boundary values of three-harmonic Poisson integral on the boundary of a unit disk ⋮ 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 ⋮ Taylor series of biharmonic Poisson integral for upper half-plane ⋮ 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 ⋮ Approximating properties of biharmonic Poisson operators in the classes \(\widehat{L}_{\beta,1}^\psi\) ⋮ 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 ⋮ Approximative properties of biharmonic Poisson integrals on Hölder classes ⋮ On some asymptotic properties of solutions to biharmonic equations
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