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J. Math. Comput. Sci. 2 (2012), 23–36

Lacunary statistical convergence of double generalized difference sequences on probabilistic normed space

Ayhan Esi, M. Kemal Ozdemir

Abstract

In this paper we study define the concept of lacunary double ^{m}- statistical convergent sequences in probabilistic normed space and give some results. The main purpose of this paper is to generalize the results for double sequences on statistical convergence in probabilistic normed space given by Esi and Özdemir [4] earlier.

Published
31 January 2012
Volume
2 (2012)
License
CC BY 3.0

Copyright © 2012 Ayhan Esi, M. Kemal Ozdemir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. Esi, M. K. Ozdemir, Lacunary statistical convergence of double generalized difference sequences on probabilistic normed space, J. Math. Comput. Sci. 2 (2012), 23–36.

BibTeX
@article{Esi2012,
  author  = {Esi, Ayhan and Ozdemir, M. Kemal},
  title   = {Lacunary statistical convergence of double generalized difference sequences on probabilistic normed space},
  journal = {J. Math. Comput. Sci.},
  volume  = {2},
  year    = {2012},
  pages   = {23--36},
  doi     = {}
}