CAUCHY'S ERROR REPRESENTATION OF HERMITE INTERPOLATING POLYNOMIAL AND RELATED RESULTS

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, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 04期

关键词：

n-convex function; Hermite interpolating polynomial; Hermite-Hadamard inequality; orthogonal polynomials; INEQUALITY;

D O I：

10.7153/mia-19-99

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider convex functions of higher order. Using the Cauchy's error representation of Hermite interpolating polynomial the results concerning to the Hermite-Hadamard inequalities are presented. As a special case, generalizations for the zeros of orthogonal polynomials are considered.

引用

页码：1349 / 1362

页数：14

共 8 条

[1] AGARWAL R. P., 1993, Error Inequalities in Polynomial Interpolation and Their Applications
[2] [Anonymous], 1992, Math. Sci. Eng
[3] CAUCHY'S ERROR REPRESENTATION OF LIDSTONE INTERPOLATING POLYNOMIAL AND RELATED RESULTS
Aras-Gazic, G.
Culjak, V.
Pecaric, J.
Vukelic, A.
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (04): : 1207 - 1225
[4] Aras-Gazic G, 2015, MATH REP, V17, P201
[5] GENERALIZATION OF JENSEN'S INEQUALITY BY LIDSTONE'S POLYNOMIAL AND RELATED RESULTS
Aras-Gazic, Gorana
Culjak, Vera
Pecaric, Josip
Vukelic, Ana
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (04): : 1243 - 1267
[6] Bessenyei M, 2002, PUBL MATH DEBRECEN, V61, P623
[7] Karlin S., 1968, Total Positivity I
[8] Popoviciu T., 1934, MATH CLUJ, V10, P49

← 1 →