GENERALIZATIONS OF HARDY-TYPE INEQUALITIES BY THE HERMITE INTERPOLATING POLYNOMIAL

被引：0

作者：

Himmelreich, Kristina Krulic ^{[1
]}

Pecaric, Josip ^{[2
]}

Pokaz, Dora ^{[3
]}

Praljak, Marjan ^{[4
]}

机构：

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

[2] Croatian Acad Sci & Arts, Trg Nikole Subica Zrinskog 11, Zagreb 10000, Croatia

[3] Univ Zagreb, Fac Civil Engn, Kaciceva 26, Zagreb 10000, Croatia

[4] Univ Zagreb, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 02期

关键词：

Hardy type inequality; Hermite interpolating polynomial; Green function; Taylor interpolating polynomial; Chebysev functional; Gru<spacing diaeresis>ss type inequalities; Ostrowski type inequalities;

D O I：

10.7153/jmi-2024-18-24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain generalizations of Hardy-type inequalities for convex functions of the higher order by applying Hermite interpolating polynomials. The results for particular cases: Lagrange, ( m , n - m ) and two-point Taylor interpolating polynomials are also considered. Finally, we derive the Gru<spacing diaeresis>ss and Ostrowski type inequalities related to these generalizations.

引用

页码：443 / 455

页数：13

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