Approximating properties of biharmonic Poisson operators in the classes \(\widehat{L}_{\beta,1}^\psi\)
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Publication:1729634
DOI10.1007/s11253-017-1393-8zbMath1499.41098OpenAlexW2767626373MaRDI QIDQ1729634
T. V. Zhyhallo, Yu. I. Kharkevych
Publication date: 27 February 2019
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-017-1393-8
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items (9)
Approximative properties of the three-harmonic Poisson integrals on the classes \({W}_{\beta}^r{H}^{\alpha } \) ⋮ On boundary values of three-harmonic Poisson integral on the boundary of a unit disk ⋮ Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes ⋮ Approximation of continuous functions given on the real axis by three-harmonic Poisson operators ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk ⋮ 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 ⋮ 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
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