SOME NEW IMPROVEMENTS OF YOUNG?S INEQUALITIES

被引：5
|
作者：
Yang, Changsen [1 ]
Wang, Zhenquan [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 01期
关键词：
Young?s inequalities; Kantorovich constant; Newton?s binomial expansion;
D O I：
10.7153/jmi-2023-17-15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain some improvements and generalizations of Young's inequali-ties as the following: (1) If b > a, we can get (aovb)m - (a#vb)m v(1- v) (aoTb)m-(a#Tb)m T(1-T); (2) If b a, we can get (aovb)m - (a#vb)m > v(1-v) (aoTb)m - (a#Tb)m T(1- T) for m is an element of N+ and 0 < v T < 1. In addition, we obtain new result of Young's inequality by using the expansions of the functions (1- v) +vx - xv with 0 < x < 2.
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页码：205 / 217
页数：13
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