Generalized geometrically convex functions and inequalities

被引：4
|
作者：
Noor, Muhammad Aslam [1 ,2 ]
Noor, Khalida Inayat [2 ]
Safdar, Farhat [2 ]
机构：
[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia
[2] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Islamabad, Pakistan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
关键词：
generalized convex functions; generalized geometrically convex functions; Hermite-Hadamard's type inequalities; Holder's inequality;
D O I：
10.1186/s13660-017-1477-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced from our main results.
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收藏
页数：19
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