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

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Gazi University Journal of Science Part A: Engineering and Innovation
Volume: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 DİNLEMEZ KANTAR, İsmet YÜKSEL

Pages : 1-11

Doi:10.54287/gujsa.1029633

View : 52 | Download : 13

Publication Date : 2022-03-30

Article Type : Research Paper

Abstract :This study introduces insert ignore into journalissuearticles values(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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