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Kantorovich-type modifications of certain discrete-type operators on the positive real axis


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 L^p-spaces. Some estimates of the rate of convergence are also obtained.

DOI Code: 10.1285/i15900932v43n1p15

Keywords: positive linear operator; Kantorovich-type operator; weighted function space; $L^p$-space; rate of convergence

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