On approximation of functions from the class $L^{\psi}_{\beta, 1}$ by the Abel-Poisson integrals in the integral metric

DOI10.15330/CMP.14.1.223-229zbMath1505.42001OpenAlexW4284992633WikidataQ114006940 ScholiaQ114006940MaRDI QIDQ5053794

Yu. I. Kharkevych, T. V. Zhyhallo

Publication date: 7 December 2022

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

Full work available at URL: https://doi.org/10.15330/cmp.14.1.223-229

zbMATH Keywords

asymptotic equalityKolmogorov-Nikol'skii problemintegral metricAbel-Poisson integral\((\psi, \beta)\)-differentiable function

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (9)

Approximate characteristics of generalized Poisson operators on Zygmund classes ⋮ Exact values of the approximations of differentiable functions by Poisson-type integrals ⋮ Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes ⋮ Approximation properties of Abel-Poisson integrals on the classes of differentiable functions, defined by means of modulus of continuity ⋮ Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness) ⋮ Approximation of continuous functions given on the real axis by three-harmonic Poisson operators ⋮ Some applied aspects of the Dirac delta function ⋮ Fourier transform of the summatory Abel-Poisson function ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk

This page was built for publication: On approximation of functions from the class $L^{\psi}_{\beta, 1}$ by the Abel-Poisson integrals in the integral metric