A General study of Cesaro sequence spaces with Matrix transformations

Authors

  • Jagat Krishna Pokharel Associate Prof. Sanothimi Campus, Bhaktapur, Nepal

DOI:

https://doi.org/10.3126/ilam.v19i1.58548

Keywords:

Sequence Space, Dual Space, Transformation, Infinite Matrix, Absolute Type, Convergent

Abstract

 In this paper, the researcher utilize the non-absolute type of Cesaro sequence space to transform the Cesaro sequence spaces and establish the necessary and sufficient conditions for the existence of an infinite matrix in the spaces and C, respectively. When the sequences x∈X satisfy the condition that the series Σk=1 Xk converges, the sequence space H becomes a non-absolute Banach space that fulfills the fundamental requirements for transforming the Cesaro sequence space Xp into the corresponding spaces of ℓ and all convergent sequences. As a consequence of the matrix transformation, some theorems are derived.

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Published

2023-09-26

How to Cite

Pokharel, J. K. (2023). A General study of Cesaro sequence spaces with Matrix transformations. ILAM इलम, 19(1), 39–48. https://doi.org/10.3126/ilam.v19i1.58548

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Section

Articles