(p,q)-Lorentz多项式在光盘上的逼近
Approximation by (p,q)-Lorentz polynomials on a compact disk
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.
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