Approximation properties of the modification of Kantorovich type q-Szász operators
Document Type
Article
Publication Date
1-1-2013
Abstract
In this paper, we introduce a generalization of modification of Kantorovich type q-Szász operators Kn;q based on the concept of q-integral, these operators are different from those proposed by Mahmudov and Gupta [Mahmudov, N., Gupta, V.: On certain q-analogue of Szász Kantorovich operators, J. Appl. Math. Comput, 10.1007/s12190-010-0441-4 (2010)]. We investigate weighted statistical approximation properties and establish a local approximation theorem, we also give a convergence theorem for the Lipschitz continuous functions. Furthermore, we give the relationship between the derivative of q-Szász Mirakjan operators and the operators Kn,q. © 2013 by Eudoxus Press, LLC, all rights reserved.
Recommended Citation
Cai, Qing Bo; Zeng, Xiao Ming; and Cui, Zhenlu, "Approximation properties of the modification of Kantorovich type q-Szász operators" (2013). College of Health, Science, and Technology. 766.
https://digitalcommons.uncfsu.edu/college_health_science_technology/766