Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 2

Equi-Statistical Extension of the Korovkin Type Approximation Theorem

Pages
159–168
DOI
—

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.

Özet

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.

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