Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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LINEAR ISOMORPHIC EULER FRACTIONAL DIFFERENCE SEQUENCE SPACES AND THEIR TOEPLITZ DUALS

  • RAJ, KULDIP (School of Mathematics, Shri Mata Vaishno Devi University) ;
  • AIYUB, M. (Department of Mathematics, College of Sciences, University of Bahrain) ;
  • SAINI, KAVITA (School of Mathematics, Shri Mata Vaishno Devi University)
  • Received : 2021.08.25
  • Accepted : 2022.03.29
  • Published : 2022.05.30
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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.

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Acknowledgement

The author deeply appreciates the suggestions of the reviewers and the editor that improved the presentation of the paper.

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