Triple Almost (λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}) Lacunary Riesz χ_{R_{λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}}}³ sequence spaces defined by Orlicz function

Autor: Nagarajan Subramanian, Ayhan Esi
Jazyk: English<br />Portuguese
Rok vydání: 2019
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 37, Iss 2, Pp 129-144 (2019)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
24558923
DOI: 10.5269/bspm.v37i2.34310
Popis: In this paper we introduce a new concept for generalized almost (λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}) convergence in χ_{R_{λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}}}³-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 statistical convergence of generalized almost (λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}) convergence in χ_{R_{λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}}}³-Riesz space and also some inclusion theorems are discussed.
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