TY - JOUR ID - 154687 TI - Matrix summability of sequences of sets JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Nuray, Fatih AD - Department of Mathematics, Afyon Kocatepe University, Afyonkarahisar, Turkey Y1 - 2022 PY - 2022 VL - 8 IS - 2 SP - 195 EP - 203 KW - Sequence of sets KW - Wijsman convergence KW - Matrix transformation KW - Regular matrix DO - 10.22034/kjm.2022.327963.2476 N2 - 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. UR - https://www.kjm-math.org/article_154687.html L1 - https://www.kjm-math.org/article_154687_1ad512502ad8fa8cd3f7d3be443b1542.pdf ER -