Approximation properties of the modification of Kantorovich type q-Szasz operators

作者：Cai Qing Bo^*; Zeng Xiao Ming; Cui Zhenlu

来源：Journal of Computational Analysis and Applications, 2013, 15(1): 176-187.

• Kantorovich type operators
• q-integral
• q-Szasz operators
• weighted statistical approximation
• rate of convergence

In this paper, we introduce a generalization of modification of Kantorovich type q-Szasz operators If K-n,K-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 Szasz 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-Szasz Mirakjan operators and the operators K-n,K-q.

• 出版日期2013-1
• 单位泉州师范学院; 厦门大学