Accessible Unlicensed Requires Authentication Published by De Gruyter July 19, 2019

When deviation happens between rough statistical convergence and rough weighted statistical convergence

Sanjoy Ghosal and Avishek Ghosh
From the journal Mathematica Slovaca

Abstract

In this paper we introduce rough weighted statistical limit set and weighted statistical cluster points set which are natural generalizations of rough statistical limit set and statistical cluster points set of double sequences respectively. Some new examples are constructed to ensure the deviation of basic results. Both the sets don’t follow the usual extension properties which will be discussed here.

  1. (Communicated by Ján Borsík)

Acknowledgement

We are thankful to the Editor and referees for their careful reading of the paper and several valuable suggestions which improved the quality and presentation of the paper.

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Received: 2017-06-08
Accepted: 2019-02-07
Published Online: 2019-07-19
Published in Print: 2019-08-27

© 2019 Mathematical Institute Slovak Academy of Sciences