arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1504.05093math.CA
收藏

(p,q)-Lorentz多项式在光盘上的逼近

Approximation by (p,q)-Lorentz polynomials on a compact disk

M. Mursaleen, Faisal Khan, Asif Khan

摘要:

本文在(p,q)-整数的基础上引入了Lorentz多项式的一种新的类似形式,称之为(p,q)-Lorentz多项式。本文给出了Voronovskaja型定理的定量估计和用n次复(p,q)-Lorentz多项式同时逼近复平面上的解析函数的精确阶,其中q > p > 1.

英文摘要:

In this paper, we introduce a new analogue of Lorentz polynomials based on (p,q)-integers and we call it as (p,q)-Lorentz polynomials. We obtain quantitative estimate in the Voronovskaja's type thoerem and exact orders in simultaneous approximation by the complex (p,q)-Lorentz polynomials of degree n, where q > p > 1 attached to analytic functions in compact disks of the complex plane.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑