Approximation of bounded holomorphic and harmonic functions by Fejér means

DOI10.1007/S11253-019-01665-0zbMath1435.30121OpenAlexW2980899144MaRDI QIDQ2307641

V. V. Savchuk, M. V. Savchuk, Stanislav O. Chaichenko

Publication date: 25 March 2020

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

Full work available at URL: https://doi.org/10.1007/s11253-019-01665-0

zbMATH Keywords

approximationFejér meansanalytic and harmonic functions in the disk

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (2)

Fejér-type positive operator based on Takenaka-Malmquist system on unit circle ⋮ Approximation of holomorphic functions by Cesàro means

Cites Work

• Approximation of analytic functions by de la Vallée Poussin sums
• Approximation of functions of Dirichlet class by Fejér means
• The problem of the best linear methods for approximating functions which are analytic in the unit circle
• Bernstein Operators and Their Properties
• Approximation of Poisson Integrals by de la Vallée Poussin Sums
• Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
• Best linear methods of approximation and optimal orthonormal systems of the Hardy space
• An Extremal Problem for Harmonic Functions in the Ball
• Polynomial Approximation of Functions Analytic in a Disk
• On the degree of approximation of functions by Fejér means
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