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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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On a Modification of (p, q)-Szász–Mirakyan Operators
Scopus
Havuzumuzda 35 atıf almış
In the present paper, we construct and investigate a variant of modified (p, q)-Szász–Mirakyan operators, studied in Acar (Math Methods Appl Sci 39(10):2685–2695, 2016), which reproduce the test function x2. The order of approximation of the operators via Peetre K-functional, weighted approximation properties and approximation for functions in a Lipschitz space are discussed.
Atıf Yapan Makale Bilgileri
Kurumlar (3)
Indian Institute of Technology Roorkee
Roorkee, India
Kirikkale Üniversitesi
Kirikkale, Turkey
Visvesvaraya National Institute of Technology, Nagpur
Nagpur, India