Approximation by Chlodowsky type Jakimovski-Leviatan operators

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:259

Article; Proceedings Paper

Buyukyazici, Ibrahim¹  Tanberkan, Hande²  Serenbay, Sevilay Kirci²  Atakut, Cigdem¹ 

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

[2] Baskent Univ, Dept Math Educ, TR-06530 Ankara, Turkey

关键词: Jakimovski-Leviatan operators;    Modulus of continuity;    Weighted spaces;    Rate of convergence;    Divided differences;   

DOI  :  10.1016/j.cam.2013.04.021

来源: Elsevier

【 摘 要 】

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]. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free