Approximation by Chlodowsky type Jakimovski-Leviatan operators

作者：Buyukyazici Ibrahim^*; Tanberkan Hande; Serenbay Sevilay Kirci; Atakut Cigdem

来源：Journal of Computational and Applied Mathematics, 2014, 259: 153-163.

DOI：10.1016/j.cam.2013.04.021

• Jakimovski-Leviatan operators
• Modulus of continuity
• Weighted spaces
• Rate of convergence
• Divided differences

We introduce a generalization of the Jakimovski-Leviatan operators constructed by A.Jakimovski and D. Leviatan (1969) in [1] and the theorems on convergence and the degree of convergence are established. We also give a Voronovskaya-type theorem. Furthermore, we study the convergence of these operators in a weighted space of functions on a positive semi-axis and estimate the approximation by using a new type of weighted modulus of continuity introduced by A.D. Gadjiev and A. Aral (2007) in [9].

• 出版日期2014-3-15