关于保持指数函数的Baskakov算子

Journal of Numerical Analysis and Approximation Theory Pub Date : 2017-11-08 DOI:10.33993/jnaat462-1110

Övgü Gürel Yılmaz, Gupta Vijay, A. Aral

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引用次数: 17

摘要

本文讨论了用固定保持函数\(e_{0}\)和\(e^{2ax},\ a>0\)定义的king型Baskakov算子。利用连续模，证明了新算子对\(f\)的一致收敛性。利用voronovskaya型定理分析了king型算子的渐近性质，利用广义凸性建立了king型算子的保形性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Baskakov operators preserving the exponential function

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.

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Journal of Numerical Analysis and Approximation Theory

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