Kantorovich Version of Vector-Valued Shepard Operators

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.

Keywords

• multivariate approximation
• approximation of vector-valued functions
• Shepard operators
• Kantorovich operators
• matrix summability methods
• Cesàro summability