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

2018/06/27 by Mahto, Sanjay Kumar, Srivastava, P. D.
#40A05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1806.10383

Abstract

In this paper, we generalize the fractional order difference operator using l- Pochhammer symbol and define l- fractional difference operator. The l- 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.

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