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

页码：836 / 851

页数：16

共 5 条

[1] CAUCHY'S ERROR REPRESENTATION OF HERMITE INTERPOLATING POLYNOMIAL AND RELATED RESULTS
Aras-Gazic, Gorana
Pecaric, Josip
Vukelic, Ana
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (04): : 1349 - 1362
[2] GENERALIZATIONS OF HARDY-TYPE INEQUALITIES BY THE HERMITE INTERPOLATING POLYNOMIAL
Himmelreich, Kristina Krulic
Pecaric, Josip
Pokaz, Dora
Praljak, Marjan
JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (02): : 443 - 455
[3] CAUCHY'S ERROR REPRESENTATION OF LIDSTONE INTERPOLATING POLYNOMIAL AND RELATED RESULTS
Aras-Gazic, G.
Culjak, V.
Pecaric, J.
Vukelic, A.
JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (04): : 1207 - 1225
[4] INTEGRAL ERROR REPRESENTATION OF HERMITS INTERPOLATING POLYNOMIALS AND RELATED GENERALIZATIONS OF STEFFENSEN'S INEQUALITY
Pecaric, Josip
Pribanic, Anamarija Perusic
Kalamir, Ksenija Smoljak
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1177 - 1191
[5] MAJORIZATION INEQUALITIES VIA PEANO'S REPRESENTATION OF HERMITE'S POLYNOMIAL
Latif, N.
Siddique, N.
Pecaric, J.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (03): : 374 - 399

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