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

Authors

  • Francesco Altomare
  • Mirella Cappelletti Montano
  • Vita Leonessa

DOI:

https://doi.org/10.1285/i15900932v43n1p15

Keywords:

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

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.

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Published

05-10-2023

Issue

Volume 43, issue 1 (2023)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode