Document
LINEAR ISOMORPHIC EULER FRACTIONAL DIFFERENCE SEQUENCE SPACES AND THEIR TOEPLITZ DUALS
Title of Periodical
Journal of Applied Mathematics and Informatics
Country of Publication
Kingdom of Bahrain
Place Published
Sakhir, Bahrain
Publisher
University of Bahrain
Date Issued
2022
Language
English
Subject
English Abstract
Abstract:
In the present paper we introduce and study Euler sequence spaces of fractional difference and backward difference operators. We make an effort to prove that these spaces are BK-spaces and linearly isomorphic. Further, Schauder basis for Euler fractional difference sequence spaces $e^{\varsigma}_{0,p}({\Delta}^{(\tilde{\beta})},\;{\nabla}^m)$ and $e^{\varsigma}_{c,p}({\Delta}^{(\tilde{\beta})},\;{\nabla}^m)$ are also elaborate. In addition to this, we determine the 𝛼-, 𝛽- and 𝛾- duals of these spaces.
Member of
Identifier
https://digitalrepository.uob.edu.bh/id/fe6262f6-56de-4c54-98fb-cb7b68f0f760