Brass-Stancu-Kantorovich operators on a Hypercube

Abstract

We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove Lp-approximation and provide estimates for the Lp-norm of the error of approximation in terms of a multivariate averaged modulus of continuity and of the corresponding Lp-modulus.

Başcanbaz-Tunca G., Gonska H. (2024) "Brass-Stancu-Kantorovich operators on a Hypercube " Dolomites Research Notes on Approximation, 17(2), 14-21. DOI: 10.14658/PUPJ-DRNA-2024-2-3  
Year of Publication
2024
Journal
Dolomites Research Notes on Approximation
Volume
17
Issue Number
2
Start Page
14
Last Page
21
Date Published
03/2024
ISSN Number
2035-6803
Serial Article Number
3
DOI
10.14658/PUPJ-DRNA-2024-2-3
Issue
Section
Articles