Asymptotics of approximation of functions by conjugate Poisson integrals

DOI10.15330/cmp.12.1.138-147zbMath1448.42006OpenAlexW3037503509MaRDI QIDQ5123206

Kateryna Pozharska, Inna V. Kal'chuk, Yu. I. Kharkevych

Publication date: 28 September 2020

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.12.1.138-147

zbMATH Keywords

asymptotic expansionPoisson integralconjugate functionKolmogorov-Nikol'skii problem

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (11)

Recovery of continuous functions of two variables from their Fourier coefficients known with error ⋮ On some approximation properties of Gauss-Weierstrass singular operators ⋮ Approximative properties of the three-harmonic Poisson integrals on the classes \({W}_{\beta}^r{H}^{\alpha } \) ⋮ Approximate characteristics of generalized Poisson operators on Zygmund classes ⋮ Exact values of the approximations of differentiable functions by Poisson-type integrals ⋮ On a boundary properties of functions from a class \(H_p\) \((p \geq 1)\) ⋮ Taylor series of biharmonic Poisson integral for upper half-plane ⋮ Fourier transform of the summatory Abel-Poisson function ⋮ Representation of Weierstrass integral via Poisson integrals ⋮ Approximation of the classes \({W}_{\beta, \infty}^R\) by generalized Abel-Poisson integrals ⋮ On some asymptotic properties of solutions to biharmonic equations

Cites Work

• Approximation of the classes $W^{r}_{\beta,\infty}$ by three-harmonic Poisson integrals

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