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A New Type of Ideal Convergence of Difference Sequence in Probabilistic Normed Space
Journal article

A New Type of Ideal Convergence of Difference Sequence in Probabilistic Normed Space

Vakeel A. Khan, Henna Altaf and Mohammad Faisal Khan
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, Vol.9(4), pp.737-745
01/01/2018

Abstract

Mathematics Physical Sciences Science & Technology
The idea of difference sequence sets X(Delta) = {x = (x(k)) : Delta x is an element of X} with X = l(infinity), c and c(0) was introduced by Kizmaz [10]. Mursaleen and Mohiuddine [13] defined the idea of probabilistic normed space (PNS) and the ideal convergence in PNS. Motivated by the above two concepts, we in this paper introduce the notion of difference I-convergent sequence in PNS and study the elementary properties of this convergence.

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