Kantorovich Version of Vector-Valued Shepard Operators

Duman O., Della Vecchia B., Erkus-Duman E.

Axioms, vol.13, no.3, pp.1-12, 2024 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 13 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.3390/axioms13030181
  • Journal Name: Axioms
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.1-12
  • Gazi University Affiliated: Yes

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.