Some additive reverses of Callebaut and Holder inequalities for isotonic functionals

被引：2
|
作者：
Dragomir, Sever S. [1 ,2 ]
机构：
[1] Victoria Univ, Sch Engn & Sci, POB 14428, Melbourne, Vic 8001, Australia
[2] Univ Witwatersrand, Sch Comp Sci & Appl Math, Private Bag 3, ZA-2050 Johannesburg, South Africa
来源：
CONSTRUCTIVE MATHEMATICAL ANALYSIS | 2023年 / 6卷 / 04期
关键词：
Isotonic functionals; Holder's inequality; Schwarz's inequality; Callebaut's inequality; integral inequalities; discrete inequalities; JESSEN INEQUALITY; YOUNG;
D O I：
10.33205/cma.1362691
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain some reverses of Callebaut and Holder inequalities for isotonic functionals via a reverse of Young's inequality we have established recently. Applications for integrals and n-tuples of real numbers are provided as well.
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页码：249 / 259
页数：11
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