Extensions and improvements of Sherman's and related inequalities for n-convex functions

被引：5
|
作者：
Bradanovic, Slavica Ivelic [1 ]
Pecaric, Josip [2 ]
机构：
[1] Univ Split, Fac Civil Engn Architecture & Geodesy, Matice Hrvatske 15, Split 21000, Croatia
[2] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 30, Zagreb 10000, Croatia
来源：
OPEN MATHEMATICS | 2017年 / 15卷
关键词：
Sherman inequality; Majorization inequality; Jensen inequality; n-convex; Green functions; Fink identity; Cebysev functional; Means; BOUNDS;
D O I：
10.1515/math-2017-0077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives extensions and improvements of Sherman's inequality for n-convex functions obtained by using new identities which involve Green's functions and Fink's identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen's inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.
引用
收藏
页码：936 / 947
页数：12
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