ON THE (DELTA,f)-LACUNARY STATISTICAL CONVERGENCE OF THE FUNCTIONS

Autor:	Sözbir, Bayram, Altundağ, Selma, Başarır, Metin
Přispěvatelé:	Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Lacunary statistical convergence Matematik Modulus function lacunary statistical convergence delta measure on time scale time scale Mathematics::Classical Analysis and ODEs Time scale Modulus function Delta measure on time scale Mathematics
Zdroj:	Volume: 2, Issue: 1 1-8 Maltepe Journal of Mathematics
ISSN:	2667-7660
Popis:	In this paper, we introduce the concept of ∆f -lacunary statistical convergence for a ∆-measurable real-valued function defined on time scale, where f is an unbounded modulus. Our motivation here is that this definition includes many well-known concepts which already exist in the literature. We also define strong ∆f -lacunary Cesaro summability on a time scale and give some results related to these new concepts. Furthermore, we obtain necessary and sufficient conditions for the equivalence of ∆f-convergence and ∆f -lacunary statistical convergence on a time scale.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::fe733b484705ba18d6e2dbf0ecd782c1 https://dergipark.org.tr/tr/pub/mjm/issue/54090/724669 Zobrazit plný text záznamu