Approximation of the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals
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Publication:2203110
DOI10.1007/s11253-020-01761-6zbMath1448.42003OpenAlexW3043856635MaRDI QIDQ2203110
Yu. I. Kharkevych, Fahreddin G. Abdullayev
Publication date: 1 October 2020
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-020-01761-6
Trigonometric approximation (42A10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
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Cites Work
- Approximation of functions from the classes \(C_{\beta, \infty}^{\psi}\) by biharmonic Poisson integrals
- Approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \)
- Approximating properties of biharmonic Poisson integrals in the classes \(W_\beta^r H^\alpha\)
- Approximating properties of biharmonic Poisson operators in the classes \(\widehat{L}_{\beta,1}^\psi\)
- Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals
- Approximative properties of biharmonic Poisson integrals on Hölder classes
- Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)
- On the approximation of the classes \(W_\beta^r H^\alpha\) by biharmonic Poisson integrals
- Approximation of conjugate differentiable functions by their Abel–Poisson integrals
- Approximation of functions from the class $ C_{\beta, \infty }^\psi $ by Poisson integrals in the uniform metric
- Approximation of (ψ, β)-differentiable functions by Weierstrass integrals
- Approximation of functions from the class ${\ifmmode\expandafter\hat\else\expandafter\^\fi{C}}^\psi_{\beta,\infty}$ by Poisson biharmonic operators in the uniform metric
- Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals
- Asymptotics of approximation of conjugate functions by Poisson integrals
- Approximation of (ψ, β)-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
- Sur l'ordre de l'approximation d'une fonction par son intégrale de Poisson
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