A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE

Title & Authors
A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE

Abstract
In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from $\small{H_w}$ (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.
Keywords
A-statistical convergence for double sequences;positive linear operator;Korovkin type approximation theorem;Meyer-K$\small{\ddot{o}}$nig and Zeller operator;modulus of continuity;
Language
English
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3.
Triangular A-Statistical Approximation by Double Sequences of Positive Linear Operators, Results in Mathematics, 2015, 68, 3-4, 271
4.
Korovkin-Type Theorems for ModularΨ-A-Statistical Convergence, Journal of Function Spaces, 2015, 2015, 1
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