Conjugate rational Fourier-Chebyshev operator and its approximation properties

DOI10.3103/S1066369X22030094zbMath1505.42002OpenAlexW4312735909MaRDI QIDQ2112343

Ye. A. Rovba, P. G. Potseiko

Publication date: 10 January 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x22030094

zbMATH Keywords

integral operatorasymptotic estimatepointwise estimatebest approximationconjugate functionrational approximation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Integral equations with kernels of Cauchy type (45E05)

Related Items (1)

The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties

Cites Work

• Conjugate functions on the closed interval and their relationship with uniform rational and piecewise polynomial approximations
• Best approximations by rational functions with a fixed number of poles
• Approximations of conjugate functions by partial sums of conjugate Fourier series with respect to a certain system of Chebyshev-Markov algebraic fractions
• Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators
• On the evaluation of certain singular integrals with a kernel of the cauchy type
• ON BEST APPROXIMATIONS BY RATIONAL FUNCTIONS WITH A FIXED NUMBER OF POLES
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