On lambda-statistically phi-convergence

• Autorzy: Choudhury Chiranjib , Debnath Shyamal , Savaş Ekrem

Identyfikatory

DOI

10.1515/jaa-2023-0032

• Języki publikacji: EN

Abstrakty

EN

In this paper, by using the notions of λ-density, (V, λ)-summability and Orlicz function ϕ, we introduce a new concept of convergence, namely λ-statistically ϕ-convergence, as a generalization of the λ-statistical convergence and statistically ϕ-convergence. Based on this concept, we introduce a new sequence space Sλ − ϕ and investigate some of its properties. Also, we find its relations with statistically ϕ-convergence, [C, 1]_ϕ-summability and [V, λ] ]_ϕ-summability. Finally, we introduce and investigate the concept of S_λ − ϕ Cauchy sequences.

Słowa kluczowe

EN

lambda-density; Orlicz function; lambda-statistical convergence; phi-convergence; (V, lambda)-summability

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 75--83
• Opis fizyczny: Bibliogr. 39 poz.

Twórcy

autor

Choudhury Chiranjib

• Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India

autor

Debnath Shyamal

• Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India

autor

Savaş Ekrem

• Department of Mathematics, Uşak University, Uşak, Türkiye

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).