Refinements and extensions of an inequality, III

被引：9
|
作者：
Pecaric, J
Qi, F
Simic, V
Xu, SL
机构：
[1] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
[2] Jiaozuo Inst Technol, Dept Math, Jiaozuo 454000, Henan, Peoples R China
[3] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 227卷 / 02期
基金：
美国国家科学基金会;
关键词：
inequality; extended mean values; generalized weighted mean values; generalized weighted abstracted means; completely monotonic function; monotonicity; convexity; comparison;
D O I：
10.1006/jmaa.1998.6104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, all of the cases of the inequality b(x+y) - a(x+y)/b(x) - a(x) greater than or equal to x + y/x (a + b/2)(y) being or not being valid are discussed for all real numbers x,y is an element of R and x not equal 0, where a, b > 0 and a not equal b. Some recent developments concerning mean values are simply introduced. (C) 1998 Academic Press.
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页码：439 / 448
页数：10
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