The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Necessary and Sufficient Conditions for Uniform Convergence and Boundedness of a General Class of Sine Series


Laszlo Leindler

Bolyai Institute, University of Szeged,
Aradi V
rtank tere 1,
H-6720 Szeged,


For all we know theorems pertaining to sine series with coefficients from the class γGBVS give only sufficient conditions. Therefore we define a subclass of γGBVS in order to produce necessary and sufficient conditions for the uniform convergence and boundedness if the coefficients of the sine series belong to this subclass; and prove two theorems of this type.

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