On the approximation of the classes \(W_\beta^r H^\alpha\) by biharmonic Poisson integrals
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Publication:2417272
DOI10.1007/s11253-018-1528-6zbMath1417.31004OpenAlexW2901610503MaRDI QIDQ2417272
Ulyana Z. Hrabova, T. A. Stepanyuk, Inna V. Kal'chuk
Publication date: 12 June 2019
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-018-1528-6
Related Items (6)
Approximative properties of the three-harmonic Poisson integrals on the classes \({W}_{\beta}^r{H}^{\alpha } \) ⋮ Taylor series of biharmonic Poisson integral for upper half-plane ⋮ 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
Cites Work
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- Approximative properties of biharmonic Poisson integrals on Hölder classes
- Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)
- Approximation of conjugate differentiable functions by biharmonic Poisson integrals
- Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals
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- Tangential limit values of a biharmonic poisson integral in a disk
- On a biharmonic function in the unit disc
- Sur l'ordre de l'approximation d'une fonction par son intégrale de Poisson
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