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

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 Telyakovskii 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