Approximating properties of biharmonic Poisson integrals in the classes \(W_\beta^r H^\alpha\)
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Publication:1729385
DOI10.1007/S11253-017-1323-9zbMath1490.42004OpenAlexW2611114974MaRDI QIDQ1729385
Inna V. Kal'chuk, 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/s11253-017-1323-9
Related Items (11)
Approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \) ⋮ Approximative properties of the three-harmonic Poisson integrals on the classes \({W}_{\beta}^r{H}^{\alpha } \) ⋮ 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 ⋮ 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 ⋮ 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 ⋮ Approximation of functions from the classes \(W_\beta^r H^\alpha\) by Weierstrass integrals ⋮ Approximating properties of biharmonic Poisson operators in the classes \(\widehat{L}_{\beta,1}^\psi\) ⋮ Approximative properties of biharmonic Poisson integrals on Hölder classes
Cites Work
- Approximation of functions from the classes \(C_{\beta, \infty}^{\psi}\) by biharmonic Poisson integrals
- Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals
- Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)
- Precise inequalities for the oscillations of harmonic and biharmonic functions in a circle
- 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
- Über das Randverhalten des POISSON‐Integrals der polyharmonischen Gleichung
- Tangential limit values of a biharmonic poisson integral in a disk
- On a biharmonic function in the unit disc
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