Abstract
In this paper, we first introduce the notion of statistical weighted (Nλ,p,q)(Eλ,1)A-summability and then investigate its relation with the weighted (Nλ,p,q)(Eλ,1)A-statistical convergence. We also study the weighted (Nλ,p,q)(Eλ,1)-regular matrix and find the conditions for the matrix A to be weighted (Nλ,p,q)(Eλ,1)-regular. Furthermore, as an application of the results presented in this paper, we prove a Korovkin type approximation theorem involving the statistical weighted (Nλ,p,q)(Eλ,1)A-summability, which we have introduced in this paper. Relevant connections of the proposed investigation with other recent developments on the subject are also indicated.
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