Generalized Cesàro Summable Vector Valued Sequence Space of Bounded Type

Authors

  • Jagat Krishna Pokharel Department of Mathematics Education, Sanothimi Campus, Tribhuvan University, Nepal
  • Narayan Prasad Pahari Central Department of Mathematics , Tribhuvan University, Kritipur, Nepal
  • Ganesh Bahadur Basnet Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Nepal

Keywords:

Sequence space, p-normed space, Cesàro sequence space

Abstract

This work aims to introduce and study new classes of generalized Cesàro summable vector-valued sequence spaces of bounded type. Besides exploring the completeness of the classes Ces(X, p) and Ces(X, p) ∞ when topologized with suitable natural p-normed, our primary interest is to study the β-dual of Ces(X, p).

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Published

2024-07-02

How to Cite

Generalized Cesàro Summable Vector Valued Sequence Space of Bounded Type. (2024). The Nepali Mathematical Sciences Report, 41(1), 34-42. https://doi.org/10.3126/nmsr.v41i1.67457

Issue

Vol. 41 No. 1 (2024)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report

How to Cite

Generalized Cesàro Summable Vector Valued Sequence Space of Bounded Type. (2024). The Nepali Mathematical Sciences Report, 41(1), 34-42. https://doi.org/10.3126/nmsr.v41i1.67457