Statistical Convergence of Double Sequences

In this paper we provide various approximation results concerning the classical Korovkin theorem via A -statistical convergence. We also study the rates of A -statistical convergence of approximating positive linear operators and give some examples. Mathematics subject classification (2000): 41A25, 41A36; 40A05.

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A-Statistical convergence of approximating operators

Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials

Operators constructed by means of q-Lagrange polynomials and A-statistical approximation

In this paper, the notion of N, pn - summability to generalize the concept of statisticalconvergence is used. We call this new method weighted statistically convergence. We also establish itsrelationship with statistical convergence, C,1-summability and strong   n N, p -summability.

https://ijsts.shirazu.ac.ir/article_2217_176bc8128ea526368e2bcc429ae97a23.pdf

Weighted statistical convergence

We characterize the matrix class (ίίχ ΠΧ, Y) for certain sequence spaces X and Υ , where stx is the set of all statistically convergent sequences defined by a non-negative regular matrix A. AMS-classification: 40A05, 40C05, 40D25, 40F05

Enno Kolk

Papers

Matrix Summability of Statistically Convergent Sequences