Turkish Journal of Mathematics
Article Title
Korovkin type approximation via triangular $A-$statistical convergence on an infinite interval
DOI
10.3906/mat-2012-57
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.
Keywords
Triangular $A-$statistical convergence, positive linear operator, the Korovkin type theorem, Szasz-Mirakyan operator
First Page
929
Last Page
942
Recommended Citation
ÇINAR, SELİN; YILDIZ, SEVDA; and DEMİRCİ, KAMİL
(2021)
"Korovkin type approximation via triangular $A-$statistical convergence on an infinite interval,"
Turkish Journal of Mathematics: Vol. 45:
No.
2, Article 21.
https://doi.org/10.3906/mat-2012-57
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss2/21
