Translativity of absolute weighted mean summability
In this paper, we give necessary and sufficient conditions on for , , to be translative. So we extend the known results of Al-Madi [1] and Cesco to the case .
On equivalence of summability methods
-statistically convergent function sequences
In the present paper we are concerned with convergence in -density and -statistical convergence of sequences of functions defined on a subset of real numbers, where is a finitely additive measure. Particularly, we introduce the concepts of -statistical uniform convergence and -statistical pointwise convergence, and observe that -statistical uniform convergence inherits the basic properties of uniform convergence.
Some inclusion theorems for absolute summability
Banach and statistical cores of bounded sequences
In this paper, we are mainly concerned with characterizing matrices that map every bounded sequence into one whose Banach core is a subset of the statistical core of the original sequence.
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