Korovkin type approximation via triangular $A-$statistical convergence on an infinite interval

Authors

SELİN ÇINAR
SEVDA YILDIZ
KAMİL DEMİRCİ

Abstract

In the present paper, using the triangular $A-$statistical convergence for double sequences, which is an interesting convergence method, we prove a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued continuous functions on $\left[ 0,\infty \right)\times \left[ 0,\infty \right) $ with the property that have a finite limit at the infinity. Moreover, we present the rate of convergence via modulus of continuity. Finally, we give some further developments.

DOI

10.3906/mat-2012-57

Keywords

Triangular $A-$statistical convergence, positive linear operator, the Korovkin type theorem, Szasz-Mirakyan operator

First Page

929

Last Page

942

Recommended Citation

ÇINAR, S, YILDIZ, S, & DEMİRCİ, K (2021). Korovkin type approximation via triangular $A-$statistical convergence on an infinite interval. Turkish Journal of Mathematics 45 (2): 929-942. https://doi.org/10.3906/mat-2012-57