English

A class of sequence spaces defined by $l$-fractional difference operator

Functional Analysis 2018-06-28 v1

Abstract

In this paper, we generalize the fractional order difference operator using ll- Pochhammer symbol and define ll- fractional difference operator. The ll- fractional difference operator is further used to introduce a class of difference sequence spaces. Some topological properties and duals of the newly defined spaces are studied.

Keywords

Cite

@article{arxiv.1806.10383,
  title  = {A class of sequence spaces defined by $l$-fractional difference operator},
  author = {Sanjay Kumar Mahto and P. D. Srivastava},
  journal= {arXiv preprint arXiv:1806.10383},
  year   = {2018}
}

Comments

9 pages

R2 v1 2026-06-23T02:43:20.019Z