Lacunary I-convergence in probabilistic n-normed space

Document Type : Original Article

Authors

1 a Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati 781 035, Assam, India

2 National Institute of Technology, Silchar 788 010, Assam, India

3 c Silchar Polytechnic, Silchar 788 015, Assam, India

Abstract

In this article using the concept of ideal and lacunary sequence we introduce the concept
of lacunary I-convergent, lacunary I-Cauchy and lacunary I
-convergent sequences in probabilistic
n-normed space.We obtain some results related to these concepts. Also the concept of lacunary
refinement of a lacunary sequence is discussed in probabilistic n-normed space.

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