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Zbl 0693.40007
Connor, Jeff
On strong matrix summability with respect to a modulus and statistical convergence. (English)
[J] Can. Math. Bull. 32, No.2, 194-198 (1989). ISSN 0008-4395; ISSN 1496-4287/e

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.
[B.P.Mishra]

MSC 2000:: *40D25 Inclusion theorems, etc.
40A05 Convergence of series and sequences

Keywords: strong Cesaro summability; strong A-summability

Cited in: Zbl 1060.40001 Zbl 0946.46008 Zbl 0854.40005

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