On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence

Abstract

An operator version of the Korovkin theorem has recently been obtained by D. Popa. With the motivation of this result, we have extended it by using a more powerful convergence which also includes ordinary convergence. We have also presented an example to illustrate the strength of our theorem.

Keywords

• Korovkin type approximation
• statistical convergence
• positive linear operators

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