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(p,q)-Generalization of Szász–Mirakyan operators
Scopus
Toplam 136 atıf DOI
In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q-Sz ász–Mirakyan operators are captured. Copyright © 2015 John Wiley & Sons, Ltd.
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Durrmeyer type (p,q)-Baskakov operators preserving linear functions
Scopus
Havuzumuzda Open Access 37 atıf almış
The present paper deals with the construction of Baskakov Durrmeyer operators, which preserve the linear functions, in (p,q) -calculus. More precisely, using (p,q) -Gamma function we introduce genuine mixed type Baskakov Durrmeyer operators having Baskakov and Szász basis functions. After construction of the operators and calculations of their moments and central moments, rate of convergence of the operators by means of appropriate modulus of continuity, approximation behaviors for functions belong to Lipschitz class and weighted approximation are explored.
Atıf Yapan Makale Bilgileri
Kurumlar (2)
Faculty of Sciences, King Abdulaziz University
Jeddah, Saudi Arabia
Selçuk Üniversitesi
Selçuklu, Turkey