Journal of Inequalities and Applications | |
Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials | |
Serkan Araci1  Tarul Garg2  Purshottam Narain Agrawal2  | |
[1] Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University;Department of Mathematics, Indian Institute of Technology Roorkee; | |
关键词: Brenke type polynomials; Szász operator; Ditzian-Totik modulus of smoothness; derivative of bounded variation; Peetre’s K-functional; rate of convergence; | |
DOI : 10.1186/s13660-017-1430-z | |
来源: DOAJ |
【 摘 要 】
Abstract The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials. We investigate the order of convergence by using Peetre’s K-functional and the Ditzian-Totik modulus of smoothness and study the degree of approximation of the univariate operators for continuous functions in a Lipschitz space, a Lipschitz type maximal function and a weighted space. The rate of approximation of functions having derivatives equivalent with a function of bounded variation is also obtained.
【 授权许可】
Unknown