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arXiv:1612.06250 [math.CA]AbstractReferencesReviewsResources

Strong boundedness, strong convergence and generalized variation

Muharem Avdispahić, Zenan Šabanac

Published 2016-12-19Version 1

A trigonometric series strongly bounded at two points and with coefficients forming a log-quasidecreasing sequence is necessarily the Fourier series of a function belonging to all $L^{p}$ spaces, $1\leq p < \infty$. We obtain new results on strong convergence of Fourier series for functions of generalized bounded variation.

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