Article

Positivity

, Volume 15, Issue 1, pp 87-103

Approximation theorems by positive linear operators in weighted spaces

  • Feilong CaoAffiliated withDepartment of Information and Mathematics Sciences, China Jiliang University Email author 
  • , Yufang LiuAffiliated withDepartment of Information and Mathematics Sciences, China Jiliang University

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Abstract

In this study, we obtain some Korovkin type approximation theorems by positive linear operators on the weighted space of all real valued functions defined on the real two-dimensional Euclidean space \({\mathbb{R}^2}\). This paper is mainly consisted of two parts: a Korovkin type approximation theorem via the concept of A-statistical convergence and a Korovkin type approximation theorem via \({\mathcal {A}}\)-summability.

Keywords

A-statistical convergence Matrix summability The Korovkin type theorem Positive linear operators

Mathematics Subject Classification (2000)

40A05 41A36 47B38