New Hermite–Hadamard type integral inequalities for convex functions and their applications

New fractional inequalities of midpoint type via s-convexity and their application

“…In [13], a presumably new Hermite-Hadamard-type inequality was established by Mehrez and Agarwal, whose finding is reported in the next theorem.…”

New Generalized Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals

“…inequality for regular convex function was studied by [3]. Furthermore, many researchers have been studying the generalization of inequality in (1) motivated by various modifications of the notion of convexity, such as s-convexity and generalized s-convexity, for example see the details in ( [4][5][6][7]), where Hermite-Hadamard inequality were extended in order to include the problems that related to fractional calculus, a branch of calculus dealing with derivatives and integrals of non-integer order (see [8][9][10][11][12][13]).…”

Certain Hermite–Hadamard Inequalities for Logarithmically Convex Functions with Applications

“…In recent years, because of the importance of the relationship between inequalities and convexity, the study of the Hermite-Hadamard's inequality has attracted much attention due to applications of convex functions (for details see [1,2]).…”

“…Then, the following inequality − log(q)H nq n Let n be a integer number. Then the inequality holds, H n − ψ n 2 |ψ (2) (1)| − 1 log |ψ(2) (1)| |ψ (2) (n + 1)| − 1 log |ψ (2) (n + 1…”