Approximation results by multivariate sampling Kantorovich series in Musielak-Orlicz spaces

Abstract

In this paper we study the theory of the so-called multivariate sampling Kantorovich operators in the general frame of the Musielak-Orlicz spaces. The main result in this context is a modular convergence theorem, that can be proved by density arguments. Several concrete cases of Musielak-Orlicz spaces and of kernel functions are presented and discussed.

Costarelli D., Vinti G. (2019) "Approximation results by multivariate sampling Kantorovich series in Musielak-Orlicz spaces " Dolomites Research Notes on Approximation, 12(1), 7-16. DOI: 10.14658/PUPJ-DRNA-2019-1-2  
Year of Publication
2019
Journal
Dolomites Research Notes on Approximation
Volume
12
Issue Number
1
Start Page
7
Last Page
16
Date Published
03/2019
ISSN Number
2035-6803
Serial Article Number
2
DOI
10.14658/PUPJ-DRNA-2019-1-2
Issue
Section
Articles