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

Diksha Debbarma; Binod Chandra Tripathy

doi:10.2478/amsil-2024-0026

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

Annales Mathematicae Silesianae

Volume 39 (2025): Issue 2 (September 2025)

By: Diksha Debbarma and Binod Chandra Tripathy

Open Access

|Jan 2025

Abstract

The sequence spaces _ruℓ_∞(𝒪, ∇_q), _ruℓ_p(𝒪, ∇_q), _ruc(𝒪, ∇_q), _ruc₀(𝒪, ∇_q), _rum_ϕ(𝒪, ∇_q, p), _run_ϕ(𝒪, ∇_q, p), _rum_ϕ(𝒪, ∇_q), _run_ϕ(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 _rum_ϕ(𝒪, ∇_q, p) are also examined in this article.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2024-0026 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 248 - 268

Submitted on: Mar 1, 2024

Accepted on: Dec 5, 2024

Published on: Jan 8, 2025

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

40A05,

39A70,

46B50,

46B20

Related subjects:

Mathematics,

General mathematics

© 2025 Diksha Debbarma, Binod Chandra Tripathy, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 39 (2025): Issue 2 (September 2025)