Interpolation by Lupaş q-type operators on Tetrahedrons: Interpolation by Lupaş q-type operators on Tetrahedrons

Fahad Sikander; Asif Khan; Tanveer Fatima; Shuja Rizvi

Authors

Fahad Sikander Saudi Electronic University
Asif Khan Aligarh Muslim University https://orcid.org/0000-0001-9290-1313
Tanveer Fatima Taibah University
Shuja Rizvi

Keywords:

Lupaş type q-Bernstein operators, Boolean sum operators, tetrahedron, modulus of continuity, error estimation

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.

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Interpolation by Lupaş q-type operators on Tetrahedrons