On estimates of uniform approximations of some classes of functions by the Fourier – Chebyshev rational integral operator
https://doi.org/10.29235/1561-2430-2025-61-1-7-16
Abstract
The problem of finding new estimates of uniform approximations by the Fourier – Chebyshev rational integral operator on classes of Markov functions, functions with a power singularity, conjugate functions with a density having a power singularity, and singular integrals with a Cauchy kernel, Chebyshev weight of the second kind and density having a power singularity. In some cases, the estimates found have a greater descending order, in comparison with the previously known corresponding results.
Keywords
Fourier – Chebyshev rational integral operators,
uniform approximations,
Markov functions,
conjugate functions,
singular integrals with Cauchy kernel
Supporting agencies: The author is grateful to Professor E. A. Rovba for a number of useful comments and assistance in the work.
About the Author
P. G. Patseika
Yanka Kupala State University of Grodno
Belarus
Belarus
Pavel G. Patseika – Ph. D. (Physics and Mathematics), Associate Professor, Associate Professor of the Department of Fundamental and Applied Mathematics
22, Ozheshko Str., 230023, Grodno
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