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

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Abstract

Odd, 2π-periodical, continuous functions represented by Fourier series are considered. The question of the convergence in the metric L of trigonometric interpolation sine polinomials of functions with monotone and quasimonotone Fourier coefficients is considered.

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  1. Ivanovo State Power Engineering University, Rabfakovskaya str. 34, Ivanovo, 153003, Russia

    V. S. Kolesnikov

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  1. V. S. Kolesnikov
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Correspondence to V. S. Kolesnikov.

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Kolesnikov, V.S. On convergence of odd trigonometric interpolation polynomials with equidistant points in the metric L . Anal Math 42, 371–385 (2016). https://doi.org/10.1007/s10476-016-0405-5

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  • DOI: https://doi.org/10.1007/s10476-016-0405-5

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