Approximations of conjugate functions by partial sums of conjugate Fourier series with respect to a certain system of Chebyshev-Markov algebraic fractions

DOI10.3103/S1066369X20090066zbMath1465.42032OpenAlexW3093456997MaRDI QIDQ2027833

P. G. Patseika, E. A. Rovba

Publication date: 28 May 2021

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

Full work available at URL: https://doi.org/10.3103/s1066369x20090066

zbMATH Keywords

asymptotic methodsconjugate functionexact estimateChebyshev-Markov algebraic fractionpartial sum of Fourier-Chebyshev series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Conjugate rational Fourier-Chebyshev operator and its approximation properties

Cites Work

• Conjugate functions on the closed interval and their relationship with uniform rational and piecewise polynomial approximations
• On the degree of approximation of functions belonging to the Lipschitz class by means of a conjugate series
• The algebraic fractions of Chebyshev and Markov on several segments
• On the asymptotically sharp estimates for the pointwise approximation of some classes of functions by algebraic polynomials.
• On a system of rational Chebyshev-Markov fractions
• Approximation of conjugate of functions belonging to weighted Lipschitz class \(W(L^{p},\xi(t))\) by Hausdorff means of conjugate Fourier series
• On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
• Conjugate functions and their connection with uniform rational and piecewise-polynomial approximations
• The degree of approximation of functions, and their conjugates, belonging to several general Lipschitz classes, by Hausdorff matrix means of their Fourier series and conjugate series of their Fourier series
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