Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications

被引：93
作者：
Latif, Muhammad Amer [1 ]
Rashid, Saima [2 ]
Dragomir, Silvestru Sever [3 ]
Chu, Yu-Ming [4 ,5 ]
机构：
[1] Univ Hail, Dept Basic Sci, Hail, Saudi Arabia
[2] Govt Coll GC Univ, Dept Math, Faisalabad, Pakistan
[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic, Australia
[4] Huzhou Univ, Dept Math, Huzhou, Peoples R China
[5] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期
关键词：
Hermite-Hadamard inequality; Co-ordinated convex function; Co-ordinated quasi-convex function; Holder integral inequality; Moment of random variable; SINGULAR INTEGRAL OPERATOR; NEURAL-NETWORKS; TRANSFORMATION INEQUALITIES; HARMONIC CONVEXITIES; GLOBAL CONVERGENCE; NUMERICAL-SOLUTION; NEWTON METHOD; LIMIT-CYCLES; EXISTENCE; EQUATION;
D O I：
10.1186/s13660-019-2272-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the article, we present several Hermite-Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independent random variables. Our results are generalizations of some earlier results. Additionally, an illustrative example on the probability distribution is given to support our results.
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页数：33
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