Equi-Statistical Extension of the Korovkin Type Approximation Theorem

Authors

SEVDA KARAKUŞ
KAMİL DEMİRCİ

Abstract

In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.

DOI

10.3906/mat-0801-22

Keywords

Equi-statistical convergence, positive linear operator, Korovkin type theorem

First Page

159

Last Page

168

Recommended Citation

KARAKUŞ, S, & DEMİRCİ, K (2009). Equi-Statistical Extension of the Korovkin Type Approximation Theorem. Turkish Journal of Mathematics 33 (2): 159-168. https://doi.org/10.3906/mat-0801-22