Orlicz lacunary sequence spaces of 𝑙-fractional difference operators

Author:

Raj Kuldip1,Saini Kavita1,Choudhary Anu1

Affiliation:

1. School of Mathematics , Shri Mata Vaishno Devi University , Katra - 182320, J& K , India

Abstract

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.

Funder

Council of Scientific and Industrial Research, India

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Reference20 articles.

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4. S. Chapman, On non-integral orders of summability of series and integrals, Proc. Lond. Math. Soc. (2) 9 (1911), 369–409.

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