Approximation of functions from the class $ C_{\beta, \infty }^\psi $ by Poisson integrals in the uniform metric
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Publication:3076484
DOI10.1007/S11253-010-0321-YzbMath1224.41048OpenAlexW2047148880MaRDI QIDQ3076484
T. V. Zhyhallo, Yu. I. Kharkevych
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/s11253-010-0321-y
Approximation by rational functions (41A20) Approximation by operators (in particular, by integral operators) (41A35)
Related Items (10)
Approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \) ⋮ 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 the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals ⋮ Approximation of functions from the classes \(W_\beta^r H^\alpha\) by Weierstrass 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 ⋮ Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions ⋮ Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)
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