On the Uniform Convergence and Boundedness of a Certain Class of Sine Series

Author: Leindler L.1

Source: Analysis Mathematica, Volume 27, Number 4, 2001 , pp. 279-285(7)

Publisher: Springer

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Abstract:

Three classical results pertaining to the uniform convergence or boundedness of sine series with monotonic null sequence coefficients, as well as a recently proved theorem of Telyakovskiibreve are generalized to a certain subclass of the quasi monotone decreasing coefficients.

Language: English

Document Type: Regular paper

Affiliations: 1: University of Szeged Bolyai Institute, Aradi Vértanúk Tere 1. 6720 Szeged Hungary e-mail: leindler@math.u-szeged.hu

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