Kantorovich Version of Vector-Valued Shepard Operators-Reference-Cited by-同舟云学术

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Kantorovich Version of Vector-Valued Shepard Operators

Published:2024-03-09 Issue:3 Volume:13 Page:181
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Duman Oktay¹^ORCID,Della Vecchia Biancamaria²^ORCID,Erkus-Duman Esra³^ORCID

Affiliation:

1. Department of Mathematics, TOBB Economics and Technology University, Söğütözü, 06560 Ankara, Turkey

2. Dipartimento di Matematica, Università di Roma ‘Sapienza’, 00185 Roma, Italy

3. Department of Mathematics, Gazi University, Teknikokullar, 06500 Ankara, Turkey

Abstract

In the present work, in order to approximate integrable vector-valued functions, we study the Kantorovich version of vector-valued Shepard operators. We also display some applications supporting our results by using parametric plots of a surface and a space curve. Finally, we also investigate how nonnegative regular (matrix) summability methods affect the approximation.

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/3/181/pdf

Reference21 articles.

1. Démonstration du théorème de Weierstrass fondée sur le calcul des probabilités;Bernstein;Commun. Kharkov Math. Soc.,1913

2. Sur certains développements suivant les polynomes de la forme de S.Bernstein, I;Comptes Rendus L’AcadéMie Des Sci. L’Urss,1930

3. Sur certains développements suivant les polynomes de la forme de S.Bernstein, II;Comptes Rendus L’AcadéMie Des Sci. L’Urss,1930

4. Multidimensional sampling-Kantorovich operators in BV-spaces;Angeloni;Open Math.,2023

5. Approximation error for neural network operators by an averaged modulus of smoothness;Costarelli;J. Approx. Theory,2023

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