INTEGRAL ERROR REPRESENTATION OF HERMITS INTERPOLATING POLYNOMIALS AND RELATED GENERALIZATIONS OF STEFFENSEN'S INEQUALITY

被引：1

作者：

Pecaric, Josip ^{[1
]}

Pribanic, Anamarija Perusic ^{[2
]}

Kalamir, Ksenija Smoljak ^{[3
]}

机构：

[1] RUDN Univ, Miklukho Maklava Str 6, Moscow 117198, Russia

[2] Univ Rijeka, Fac Civil Engn, Radmile Matejcic 3, Rijeka 51000, Croatia

[3] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 04期

关键词：

Steffensen's inequality; Hermite interpolating polynomial; Green's function; n-convex function;

D O I：

10.7153/mia-2019-22-81

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some representations of Steffensen's inequality are obtained by using Hermite interpolating polynomials. The obtained representations are used to prove new generalizations of Steffensen's inequality for n-convex functions and to give some bounds for integrals in these representations.

引用

页码：1177 / 1191

页数：15

共 5 条

[1] New generalizations of Steffensen’s inequality by Lidstone’s polynomial
Josip Pečarić
Anamarija Perušić Pribanić
Ksenija Smoljak Kalamir
Aequationes mathematicae, 2024, 98 : 441 - 454
[2] New generalizations of Steffensen's inequality by Lidstone's polynomial
Pecaric, Josip
Pribanic, Anamarija Perusic
Kalamir, Ksenija Smoljak
AEQUATIONES MATHEMATICAE, 2024, 98 (02) : 441 - 454
[3] 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
[4] Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae
Aras-Gazic, Gorana
Pecaric, Josip
Vukelic, Ana
MATHEMATICAL MODELLING AND ANALYSIS, 2016, 21 (06) : 836 - 851
[5] GENERALIZATION OF JENSEN'S INEQUALITY BY HERMITE POLYNOMIALS AND RELATED RESULTS
Aras-Gazic, G.
Culjak, V.
Pecaric, J.
Vukelic, A.
MATHEMATICAL REPORTS, 2015, 17 (02): : 201 - 223

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