Approximation properties of Abel-Poisson integrals on the classes of differentiable functions, defined by means of modulus of continuity

DOI10.15330/CMP.15.1.286-294zbMath1529.42001MaRDI QIDQ6112606

Yu. I. Kharkevych, Tetiana A. Stepaniuk

Publication date: 7 August 2023

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

zbMATH Keywords

modulus of continuityuniform metricAbel-Poisson integral

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by other special function classes (41A30) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (1)

Some applied aspects of the Dirac delta function

Cites Work

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

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