On Rate of Convergence of Matrix Means of Corrected Fourier Series

Uaday Singh and Birendra Singh

Applied Mathematics and Computation, 2023, vol. 457, issue C

Abstract: The Gibbs phenomenon is a key obstacle in many practical applications of a Fourier series. The corrected Fourier series (CFS) combines Fourier series with polynomials to control the Gibbs phenomenon for functions having finite number of jump discontinuities and extremas. Our objective in the present study is to estimate the convergence rate of the summability means generated by an infinite regular matrix followed by some corollaries and examples.

Keywords: CFS; Gibbs Phenomenon; Summability; Quasi Smooth (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:457:y:2023:i:c:s0096300323003855

DOI: 10.1016/j.amc.2023.128216

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