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Orlicz lacunary sequence spaces of đť‘™-fractional difference operators

  • Kuldip Raj EMAIL logo , Kavita Saini and Anu Choudhary
Published/Copyright: August 6, 2020

Abstract

Recently, S. K. Mahato and P. D. Srivastava [A class of sequence spaces defined by 𝑙-fractional difference operator, preprint 2018, http://arxiv.org/abs/1806.10383] studied 𝑙-fractional difference sequence spaces. In this article, we intend to make a new approach to introduce and study some lambda 𝑙-fractional convergent, lambda 𝑙-fractional null and lambda 𝑙-fractional bounded sequences over 𝑛-normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored, and some inclusion relations concerning these spaces are also established. Finally, some characterizations of the newly formed sequence spaces are given.

MSC 2010: 40A05; 40A30

Award Identifier / Grant number: 25(0288)/18/EMR-II

Funding statement: Kuldip Raj thanks the Council of Scientific and Industrial Research (CSIR), India for partial support under Grant No. 25(0288)/18/EMR-II, dated 24/05/2018.

Acknowledgements

The authors would like to thank the referees for their valuable suggestions for the presentation of the paper.

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Received: 2019-03-13
Accepted: 2019-11-06
Published Online: 2020-08-06
Published in Print: 2020-12-01

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