Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function

Diksha Debbarma; Binod Chandra Tripathy

Published: 2025-01-08

2024

Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function

Diksha Debbarma

, Binod Chandra Tripathy

Abstract

The sequence spaces ru`∞(O, ∇q), ru`p(O, ∇q), ruc(O, ∇q), ruc0(O, ∇q), rumφ(O, ∇q, p), runφ(O, ∇q, p), rumφ(O, ∇q), runφ(O, ∇q) are defined by the Orlicz function in this article. We examine all of its characteristics, including symmetry, solidity, and completeness. A few geometric properties on convexity on the space rumφ(O, ∇q, p) are also examined in this article.

Keywords:

relative uniform convergence , quantum difference operator , completeness , solid , uniform convex space

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Debbarma, D., & Tripathy, B. C. (2025). Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/17173

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