Difference Sequence Spaces Generated by ϕ−Function and Their Bi-complex Extension

Authors

  • Purushottam Parajuli Department of Mathematics, Prithvi Narayan Campus Pokhara, Nepal.
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal
  • Jhavi Lal Ghimire Central Department of Mathematics, Tribhuvan University, Kathmandu
  • Molhu Prasad Jaiswal Department of Mathematics, Tribhuvan University, Bhairahawa Multiple Campus

Keywords:

φ−function, Orlicz function, Bi-complex number, Paranormed space

Abstract

Classical sequence spaces such as l∞ , c, and c0 have been extensively studied and recognized as fundamental in the advancement of functional analysis and related areas of mathematics. In this article, we investigate the algebraic properties together with para- norm structures of the sequence spaces W0 (∆, f )(C2), W (∆, f )(C2), and W∞ (∆, f )(C2) in a bi-complex setting, which are induced by a non-negative real-valued function ϕ.

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Published

2025-12-31

How to Cite

Difference Sequence Spaces Generated by ϕ−Function and Their Bi-complex Extension. (2025). The Nepali Mathematical Sciences Report, 42(2), 91-102. https://doi.org/10.3126/nmsr.v42i2.88529

Issue

Vol. 42 No. 2 (2025)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report

How to Cite

Difference Sequence Spaces Generated by ϕ−Function and Their Bi-complex Extension. (2025). The Nepali Mathematical Sciences Report, 42(2), 91-102. https://doi.org/10.3126/nmsr.v42i2.88529