Korovkin-type approximation by operators in Riesz spaces via power series method

[摘要] In this paper we prove an Ozguç, Yurdakadim and Taş version of the Korovkin-type approximation by operators in the sense of the power series method. That is, we try to extend the Korovkin approximation theorems, obtained by Ozguç and Taş in 2016, and Taş and Yurdakadim in 2017, for concrete classes of Banach spaces to the class of Riesz spaces. Some applications are presented.

[学科分类] 外科医学

[关键词] Riesz spaces;uniformly convergence;power series method