On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals

Autor:	Kaustubh Dutta, Sanjoy Ghosal, Pratulananda Das, Vatan Karakaya
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Discrete mathematics Article Subject Weak convergence Applied Mathematics lcsh:Mathematics lcsh:QA1-939 Strong topology (polar topology) Probabilistic metric space Metric space Convergence (routing) Lacunary function Modes of convergence Analysis Compact convergence Mathematics
Zdroj:	Abstract and Applied Analysis, Vol 2013 (2013) Abstr. Appl. Anal.
ISSN:	1687-0409 1085-3375
Popis:	Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the notion of strongℐ- andℐ*-statistical convergence and two related concepts, namely, strongℐ-lacunary statistical convergence and strongℐ-λ-statistical convergence in a probabilistic metric space endowed with strong topology. We mainly investigate their interrelationship and study some of their important properties.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a78300ec86dbaad7f4b87d84c78e517b https://doaj.org/article/8eae45f5d79c44b18af7683bd9e18c52 Zobrazit plný text záznamu Plný text