Representation of ideal convergence as a union and intersection of matrix summability methods
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DOI: 10.1016/j.jmaa.2019.123760
Abstract: Abstract We characterize ideals on N for which the ideal limit function is representable as an intersection (union resp.) of matrix summability methods. More specifically, we characterize ideals I for which there is a family… read more here.
Keywords: intersection; summability methods; matrix summability; union ... See more keywords
Quasi-Density of Sets, Quasi-Statistical Convergence and the Matrix Summability Method
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DOI: 10.3390/axioms11030088
Abstract: In this paper, we define the quasi-density of subsets of the set of natural numbers and show several of the properties of this density. The quasi-density dp(A) of the set A⊆N is dependent on the… read more here.
Keywords: density; matrix summability; summability method; statistical convergence ... See more keywords