On Baskakov operators preserving the exponential function

Journal of Numerical Analysis and Approximation Theory

卷:46

Ali Aral¹  Ovgu Gurel Yilmaz²  Vijay Gupta³ 

[1] Department of Mathematics, Faculty of Sciences and Arts, Kırıkkale University;

[2] Department of Mathematics, Faculty of Sciences, Ankara University;

[3] Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110078;

关键词: Baskakov operators;    King type operators;    Voronovskaya type theorems;    modulus of continuity;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we are concerned about the King-type Baskakov operators defined by means of the preserving functions \(e_{0}\) and \(e^{2ax},\ a>0\) fixed.Using the modulus of continuity, we show the uniform convergence of new operators to \(f\). Also, by analyzing the asymptotic behavior of King-type operators with a Voronovskaya-type theorem, we establish shape preserving properties using the generalized convexity.

【 授权许可】

Unknown