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

  • Sanjoy Ghosal EMAIL logo and Avishek Ghosh
Published/Copyright: July 19, 2019
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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.


The research of the second author is supported by Jadavpur University, Kolkata-700032, West Bengal, India.


  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

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