Approximative properties of biharmonic Poisson integrals on Hölder classes

DOI10.1007/s11253-017-1416-5zbMath1423.41048OpenAlexW2754397109MaRDI QIDQ2320641

K. M. Zhyhallo, Svitlana Borysivna Hembars'ka

Publication date: 23 August 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1416-5

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (6)

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 ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation of functions from the classes \(C_{\beta, \infty}^{\psi}\) by biharmonic Poisson integrals
• Approximating properties of biharmonic Poisson integrals in the classes \(W_\beta^r H^\alpha\)
• Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals
• 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
• Approximation of functions from the class ${\ifmmode\expandafter\hat\else\expandafter\^\fi{C}}^\psi_{\beta,\infty}$ by Poisson biharmonic operators in the uniform metric
• 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

This page was built for publication: Approximative properties of biharmonic Poisson integrals on Hölder classes