Sliding window rough measurable function on Riesz Triple Almost (λ_mi,μ_nℓ,γ_kj)-Lacunary χ3R_λmiμnℓγkj sequence spaces defined by an Orlicz function

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  • Ayhan Esi1,
  • Nagarajan Subramanian2,
  1. Department of Mathematics, Adiyaman University, 02040, Adiyaman, Turkey.
  2. Department of Mathematics, SASTRA Deemed University,Thanjavur-613 401, India.

Published in Issue 2025-11-09

How to Cite

Sliding window rough measurable function on Riesz Triple Almost (λ_mi,μ_nℓ,γ_kj)-Lacunary χ3R_λmiμnℓγkj sequence spaces defined by an Orlicz function. (2025). Communications in Nonlinear Analysis, 4(1). https://oiccpress.com/cna/article/view/17900

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Abstract

In this paper, we introduce a new concept for generalized sliding window rough measurable function onalmost (λ_mi,μ_nℓ,γ_kj) -convergence in χ3R_λmiμnℓγkj - Riesz spaces strong P -convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study sliding window rough statistical convergence of generalized sliding window rough measurable function on almost  (λ_mi,μ_nℓ,γ_kj) -convergence in χ3R_λmiμnℓγkj - Riesz space and also some inclusion theorems are discussed.

Keywords

  • Analytic sequence,
  • Orlicz function,
  • double sequences,
  • X-sequence,
  • Riesz space,
  • Riesz convergence,
  • Pringsheim convergence
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References

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