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

Year 2022, Volume: 9 Issue: 1, 1 - 11, 30.03.2022

Ülkü Dinlemez Kantar , İsmet Yüksel

https://doi.org/10.54287/gujsa.1029633

Cited By: 2

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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