Some theorems on linear positive operators and functionals and their applications

被引：16

作者：

Capizzano, SS

机构：

[1] Univ Florence, Dipartimento Energet, I-50100 Florence, Italy

[2] Univ Pisa, Dipartimento Informat, I-56100 Pisa, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 39卷 / 7-8期

关键词：

linear positive operators and functionals; Faedo-Galerkin approximations; finite differences methods; Toeplitz and locally Toeplitz structures;

D O I：

10.1016/S0898-1221(00)00072-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove two theorems concerning linear positive operators and functionals in a very general sense. We show how these results can be used to derive new results in a wide range of applications from approximation theory, to the numerical treatment of differential equations and to the numerical analysis connected with signals and images. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：139 / 167

页数：29

共 72 条

[1] SUPERFAST SOLUTION OF REAL POSITIVE DEFINITE TOEPLITZ-SYSTEMS [J].