Approximation by Kantorovich-Szasz Type Operators Based on Brenke Type Polynomials

作者：Atakut Cigdem; Buyukyazici Ibrahim^*

来源：Numerical Functional Analysis and Optimization, 2016, 37(12): 1488-1502.

DOI：10.1080/01630563.2016.1216447

• Brenke polynomials
• Kantorovich-Szasz type operators
• modulus of smoothness
• Peetre K-functional
• rate of convergence
• weighted space

In this article, we give a generalization of the Kantorovich-Szasz type operators defined by means of the Brenke type polynomials introduced in the literature and obtain convergence properties of these operators by using Korovkin's theorem. Some graphical examples using the Maple program for this approximation are given. We also establish the order of convergence by using modulus of smoothness and Peetre's K-functional and give a Voronoskaja type theorem. In addition, we deal with the convergence of these operators in a weighted space.

• 出版日期2016