Investigating (p,q)-hybrid Durrmeyer-type Operators in terms of Their Approximation Properties

Abstract

This study introduces (p,q)-hybrid Durrmeyer-Stancu type linear positive operators, which are generalized forms of q-hybrid Durrmeyer-Stancu-type linear positive operators and examines their approximation properties. The first modulus of continuity on a finite interval is introduced using Peetre’s K-functional. Then, the weighted approximation theorem in a weighted space is provided using Gadzhiev’s weighted Korovkin-type theorem. Finally, these operators’ rates of convergence are obtained for the continuous functions.

Keywords

• (p q)-hybrid operators
• (p q)-calculus
• rates of approximation
• q-Stancu type operators
• weighted approximation

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