The convergence of Fourier series and a K-functional

DOI10.1016/0022-247X(91)90075-BzbMath0731.42007MaRDI QIDQ807905

Hrushikesh N. Mhaskar

Publication date: 1991

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

zbMATH Keywords

convergence of Fourier seriesdegree of approximationK-functional

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (1)

Approximation in certain intermediate spaces

Cites Work

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• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• The rate of convergence of expansions in Freud polynomials
• Estimating functions by partial sums of their Fourier series
• An estimate of the rate of convergence of the triangular matrix means of the Fourier series of functions of bounded variation
• Concepts of generalized bounded variation and the theory of Fourier series
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• A Quantitative Dirichlet–Jordan Type Theorem for Orthogonal Polynomial Expansions
• AN ESTIMATE FÜR FOURIER SERIES UF FUNCTIONS WITH DERIVATIVES OF BOUNDED VARIATION

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