NEW INTEGRAL INEQUALITIES INVOLVING BETA FUNCTION VIA P-CONVEXITY

被引：23
|
作者：
Liu, Wenjun [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源：
MISKOLC MATHEMATICAL NOTES | 2014年 / 15卷 / 02期
关键词：
Euler Beta function; integral inequality; Holder's inequality; P-convexity; HADAMARD-TYPE INEQUALITIES; H-CONVEX; H)-CONVEX FUNCTIONS; (K;
D O I：
10.18514/MMN.2014.660
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we establish some estimates, involving the Euler Beta function, of the integral b a. x a/ p. b x/ q f. x/ dx for functions when a power of the absolute value is P convex. An extension to functions of several variables is also obtained.
引用
收藏
页码：585 / 591
页数：7
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