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

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作者
Muhammad Amer Latif
Saima Rashid
Silvestru Sever Dragomir
Yu-Ming Chu
机构
[1] University of Hail,Department of Basic Sciences
[2] Government College (GC) University,Department of Mathematics
[3] Victoria University,College of Engineering and Science
[4] Huzhou University,Department of Mathematics
[5] Changsha University of Science and Technology,School of Mathematics and Statistics
关键词
Hermite–Hadamard inequality; Co-ordinated convex function; Co-ordinated quasi-convex function; Hölder integral inequality; Moment of random variable; 26D15; 26D20; 26D07;
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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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