Fejér-type positive operator based on Takenaka-Malmquist system on unit circle

DOI10.1016/j.jmaa.2023.127298zbMath1528.41045arXiv2106.08675OpenAlexW3170540173MaRDI QIDQ6063002

Fahreddin G. Abdullayev, V. V. Savchuk

Publication date: 6 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08675

zbMATH Keywords

holomorphic functionsBlaschke productTakenaka-Malmquist systemFrostman conditionFejér-type operator

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by other special function classes (41A30)

Cites Work

• Derivatives of inner functions
• Composition operators and classical function theory
• Rational interpolation Fejér and de la Vallée-Poussin type operators
• Approximation of bounded holomorphic and harmonic functions by Fejér means
• The degree of approximation by positive convolution operators
• SHARP ORDER ESTIMATES FOR BEST RATIONAL APPROXIMATIONS IN CLASSES OF FUNCTIONS REPRESENTABLE AS CONVOLUTIONS
• TCHEBYCHEFF RATIONAL APPROXIMATION IN THE DISK, ON THE CIRCLE, AND ON A CLOSED INTERVAL
• Bernstein equiconvergence and Fejér-type theorems for general rational Fourier series
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