The paper is concerned with the approximation properties of a modification of Kantorovich-type of a general class of operators of discrete-type. Such a modification was introduced by Agratini in 2015; in particular, we focus on extending its approximation properties in several function spaces, including polynomial weighted spaces of any degree as well as Lp-spaces. Some estimates of the rate of convergence are also obtained.
Kantorovich-type modifications of certain discrete-type operators on the positive real axis
Vita Leonessa
2023-01-01
Abstract
The paper is concerned with the approximation properties of a modification of Kantorovich-type of a general class of operators of discrete-type. Such a modification was introduced by Agratini in 2015; in particular, we focus on extending its approximation properties in several function spaces, including polynomial weighted spaces of any degree as well as Lp-spaces. Some estimates of the rate of convergence are also obtained.File in questo prodotto:
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