Generalizations of Hardy Type Inequalities by Taylor's Formula

被引：3
|
作者：
Krulic Himmelreich, Kristina [1 ]
机构：
[1] Univ Zagreb, Fac Text & Technol, Prilaz Baruna Filipov 28a, Zagreb 10000, Croatia
来源：
MATHEMATICA SLOVACA | 2022年 / 72卷 / 01期
关键词：
Inequalities; Hardy type inequalities; Green function; Taylor interpolating polynomial; Chebyshev functional; convex function; kernel; exponentially convex functions; log-convex functions; means;
D O I：
10.1515/ms-2022-0005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use Taylor's formula to prove new Hardy-type inequalities involving convex functions. We give new results that involve the Hardy-Hilbert inequality, Polya-Knopp inequality and bounds for the identity related to the Hardy-type functional. At the end, mean value theorems of Cauchy type are given.
引用
收藏
页码：67 / 84
页数：18
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