Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals
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Publication:3505453
DOI10.1007/S11253-007-0082-4zbMath1150.41333OpenAlexW2109670796MaRDI QIDQ3505453
Inna V. Kal'chuk, Yu. I. Kharkevych
Publication date: 18 June 2008
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-007-0082-4
Related Items (9)
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 ⋮ Approximate characteristics of generalized Poisson operators on Zygmund classes ⋮ Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk ⋮ Approximating properties of biharmonic Poisson integrals in the classes \(W_\beta^r H^\alpha\) ⋮ Approximating properties of biharmonic Poisson operators in the classes \(\widehat{L}_{\beta,1}^\psi\) ⋮ Approximative properties of biharmonic Poisson integrals on Hölder classes ⋮ On series arising from the approximation of periodic differentiable functions by Poisson integrals
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