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Article · Canadian Journal of Mathematics · October 23, 2017

Uniform Convergence of Trigonometric Series with General Monotone Coefficients

Mikhail Ivanovich Dyachenko, Askhat Birlesovich Mukanov, Sergey Yu. Tikhonov

Abstract

Abstract We study criteria for the uniform convergence of trigonometric series with general monotone coefficients. We also obtain necessary and sufficient conditions for a given rate of convergence of partial Fourier sums of such series.

Approximation Theory and Sequence SpacesAdvanced Harmonic Analysis ResearchMathematical Analysis and Transform Methodstrigonometric seriesuniform convergencemonotone coefficients

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