Manuscript Title:

GENERALIZED CESÀRO SEQUENCE SPACE OF NON-ABSOLUTE AND ABSOLUTE TYPE AS COMPLETE PARANORMED SPACE

Author:

JAGAT KRISHNA POKHAREL, NARAYAN PRASAD PAHARI, GANESH BAHADUR BASNET, RESHAM PRASAD POUDEL

DOI Number:

DOI:10.5281/zenodo.10940377

Published : 2024-04-10

About the author(s)

1. JAGAT KRISHNA POKHAREL - Department of Mathematics Education, Sanothimi Campus, Tribhuvan University, Nepal, Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal.
2. NARAYAN PRASAD PAHARI - Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal.
3. GANESH BAHADUR BASNET - Department of Mathematics, Tribhuvan University, Tri-Chandra Campus, Kathmandu, Nepal.
4. RESHAM PRASAD POUDEL - Department of Mathematics, Tribhuvan University, Tri-Chandra Campus, Kathmandu, Nepal.

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Abstract

This work aims to introduce and study a new class of generalized Cesàro sequence space of non-absolute and absolute type .. Besides the investigation of the linear structures of the classes Ces(P) and CesP, our primary interest is to explore the paranormed structures and completeness of the classes Ces(P) and CesP when topologized with suitable Natural Paranorms.


Keywords

Paranormed Space, Sequence Space, Cesàro Sequence Space. 2020 Mathematics Subject Classification: 40A05, 40C05, 46A45, 46B45.