Matrix summability of sequences of sets

Khayyam Journal of Mathematics

article

Fatih Nuray¹ 

[1] Department of Mathematics, Afyon Kocatepe University

关键词: Sequence of sets;    Wijsman convergence;    Matrix transformation;    Regular matrix;   

DOI  :  10.22034/kjm.2022.327963.2476

学科分类：公共、环境与职业健康

来源: Ferdowsi University of Mashhad

【 摘 要 】

In this paper the definition of strong Cesaro summability of sequences of closed sets with respect to a modulus is extended to a definition of strong $T$-summability with respect to a modulus when $T$ is a nonnegative regular matrix summability method. Also, we show that if a sequence of closed sets is strongly $T$-summable with respect to an arbitrary modulus,  then it is $T$-statistically convergent and that $T$-statistical convergence and strong $T$-summability with respect to a modulus are equivalent on the bounded sequences of closed sets.

【 授权许可】

CC BY-NC