Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

被引：0
|
作者：
Aras-Gazic, Gorana [1 ]
Pecaric, Josip [2 ]
Vukelic, Ana [3 ]
机构：
[1] Univ Zagreb, Fac Architecture, Andrije Kacica Miosica 26, Zagreb 10000, Croatia
[2] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia
[3] Univ Zagreb, Dept Math, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2016年 / 21卷 / 06期
关键词：
Hermite interpolating polynomial; Green function; quadrature formulae; Holder's inequality; Cebysev functional; orthogonal polynomials; EULER IDENTITIES;
D O I：
10.3846/13926292.2016.1247755
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder's inequality and some inequalities for the Cebysev functional. As a special case, generalizations for the zeros of orthogonal polynomials are considered.
引用
收藏
页码：836 / 851
页数：16
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