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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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Atıf Yapan Yayın
On Kantorovich modification of (p,q)-Baskakov operators
Scopus
Havuzumuzda Open Access 108 atıf almış
The concern of this paper is to introduce a Kantorovich modification of (Formula presented.) -Baskakov operators and investigate their approximation behaviors. We first define a new (Formula presented.) -integral and construct the operators. The rate of convergence in terms of modulus of continuities, quantitative and qualitative results in weighted spaces, and finally pointwise convergence of the operators for the functions belonging to the Lipschitz class are discussed.
Atıf Yapan Makale Bilgileri
Kurumlar (2)
King Abdulaziz University
Jeddah, Saudi Arabia
Kirikkale Üniversitesi
Kirikkale, Turkey