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

• Published in: Journal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 33
• Main Authors: Latif, Muhammad Amer, Rashid, Saima, Dragomir, Silvestru Sever, Chu, Yu-Ming
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 19.12.2019; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Co-ordinated convex function; Co-ordinated quasi-convex function; Continuity (mathematics); Convex analysis; Hermite–Hadamard inequality; Hölder integral inequality; Independent variables; Inequalities; Mathematics; Mathematics and Statistics; Moment of random variable; Random variables; Recent Advances in General Inequalities on Pure & Applied Mathematics and Related Areas; Co-ordinated convex function; 26D20; Co-ordinated quasi-convex function; Hermite–Hadamard inequality; Hölder integral inequality; Moment of random variable; 26D07; 26D15

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,...