On some zero-increasing operators

被引：8

作者：

Carnicer, JM ^{[1
]}

Peña, JM

Pinkus, A

机构：

[1] Univ Zaragoza, Dept Matemat Aplicada, Edificio Matemat Planta 1, E-50009 Zaragoza, Spain

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

ACTA MATHEMATICA HUNGARICA | 2002年 / 94卷 / 03期

关键词：

zero-increasing operators; total positivity; Polya-Laguerre functions; Polya frequency density;

D O I：

10.1023/A:1015618907277

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the set of linear operators of the form [GRAPHICS] which satisfy Z(Tp) greater than or equal to Z(p) for every polynomial p, where Z counts the number of zeros on all of R. We also consider the analogous question on [0, infinity).

引用

页码：173 / 190

页数：18

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