Generalizations of Hardy Type Inequalities by Abel-Gontscharoff's Interpolating Polynomial

被引：5

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 Filipov 28a, Zagreb 10000, Croatia

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

[3] Univ Zagreb, Fac Civil Engn, Fra Andrije Kacica Miosica 26, Zagreb 10000, Croatia

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

来源：

MATHEMATICS | 2021年 / 9卷 / 15期

关键词：

inequalities; Hardy type inequalities; Abel-Gontscharoff interpolating polynomial; Green function; Chebyshev functional; Gruss type inequalities; Ostrowski type inequalities; convex function; kernel; upper bounds;

D O I：

10.3390/math9151724

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend Hardy's type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy's inequality are given with some applications.

引用

页数：14

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