Open Access
2015 Statistical convergence of functional sequences
B.T. Bilalov, T.Y. Nazarova
Rocky Mountain J. Math. 45(5): 1413-1423 (2015). DOI: 10.1216/RMJ-2015-45-5-1413

Abstract

Statistical convergence in Lebesgue spaces is considered in this paper. A criterion for statistical convergence is given. It is shown that the known Tauberian theorems for scalar case are valid in this case, too.

Citation

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B.T. Bilalov. T.Y. Nazarova. "Statistical convergence of functional sequences." Rocky Mountain J. Math. 45 (5) 1413 - 1423, 2015. https://doi.org/10.1216/RMJ-2015-45-5-1413

Information

Published: 2015
First available in Project Euclid: 26 January 2016

zbMATH: 1378.40003
MathSciNet: MR3452220
Digital Object Identifier: 10.1216/RMJ-2015-45-5-1413

Subjects:
Primary: 11B05 , 26A05 , 40A05

Keywords: Lebesgue space , statistical convergence , Tauberian theorems

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

Vol.45 • No. 5 • 2015
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