- Gazi University Journal of Science Part A: Engineering and Innovation
- Vol: 9 Issue: 1
- Investigating (p,q)-hybrid Durrmeyer-type Operators in terms of Their Approximation Properties
Investigating (p,q)-hybrid Durrmeyer-type Operators in terms of Their Approximation Properties
Authors : Ülkü Dinlemez Kantar, Ismet Yüksel
Pages : 1-11
Doi:10.54287/gujsa.1029633
View : 14 | Download : 5
Publication Date : 2022-03-30
Article Type : Research
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