İsmet YÜKSEL, Ülkü DİNLEMEZ KANTAR

8099

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

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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Gazi University Journal of Science Part A: Engineering and Innovation-Cover
  • Yayın Aralığı: 4
  • Başlangıç: 2013
  • Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü
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