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 |
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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. |
Databáze: | Directory of Open Access Journals |
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