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

Debbarma, Diksha; Tripathy, Binod Chandra

doi:10.2478/amsil-2024-0026

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

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