Interpolation by Lupaş type operators on Tetrahedrons

Abstract

The goal of this study is to build Lupaş type Bernstein operators (rational) on tetrahedrons with all straight edges and three curved edges determined by specific functions. Interpolation attributes, approximation accuracy (degree of exactness, precision set), and the remainders of the approximation formula of Lupaş type Bernstein operators are assessed using Peano's theorem and modulus of continuity.