Connor, Jeff On strong matrix summability with respect to a modulus and statistical convergence. (English) Zbl 0693.40007 Can. Math. Bull. 32, No. 2, 194-198 (1989). The definition of strong Cesaro summability with respect to a modulus is extended to a definition of strong A-summability with respect to a modulus when A is a nonnegative regular matrix summability method. It is shown that if a sequence is strongly A-summable with respect to an arbitrary modulus then it is A-statistically convergent and that A- statistical convergence and strong A-summability with respect to a modulus are equivalent on the bounded sequences. Reviewer: B.P.Mishra Cited in 4 ReviewsCited in 93 Documents MSC: 40D25 Inclusion and equivalence theorems in summability theory 40A05 Convergence and divergence of series and sequences Keywords:strong Cesaro summability; strong A-summability PDF BibTeX XML Cite \textit{J. Connor}, Can. Math. Bull. 32, No. 2, 194--198 (1989; Zbl 0693.40007) Full Text: DOI