On convergence of odd trigonometric interpolation polynomials with equidistant points in the metric \(L\)

DOI10.1007/S10476-016-0405-5zbMath1374.42005OpenAlexW2560635201MaRDI QIDQ520066

V. S. Kolesnikov

Publication date: 31 March 2017

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-016-0405-5

zbMATH Keywords

Fourier seriesinterpolation polynomialconvergence in the metric \(L\)

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

• On the convergence of even trigonometric interpolational polynomials with equidistant points in the metric \(L\)
• On the summability of Fourier series. II

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