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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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Approximation by (p, q)-Baskakov–Durrmeyer–Stancu Operators
Scopus
Havuzumuzda 77 atıf almış
The present paper deals with the Stancu-type generalization of (p, q)-Baskakov–Durrmeyer operators. We investigate local approximation, weighted approximation properties of new operators and present the rate of convergence by means of suitable modulus of continuity. At the end of the paper, we introduce a new modification of (p, q)-Baskakov–Durrmeyer–Stancu operators with King approach.
Atıf Yapan Makale Bilgileri
Kurumlar (3)
Aligarh Muslim University
Aligarh, India
Faculty of Sciences, King Abdulaziz University
Jeddah, Saudi Arabia
Kirikkale Üniversitesi
Kirikkale, Turkey