Some inequalities for differentiable convex and concave mappings

Generalizations of the Hermite-Hadamard type inequalities for functions whose derivatives are <i>s</i>-convex

“…For recent results, refinements, counterparts, generalizations of the Hermite-Hadamard inequality see [7] - [12] and [14] - [19]. Dragomir and Agarwal [8] established the following result connected with the right-hand side of (1.1).…”

On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications

“…One of them is Hermite-Hadamard's inequality that has wide application in the field. Many researchers have used different novel and innovative ideas in obtaining new generalizations of classical inequalities, see [20][21][22][23][24][25][26]. The inequality theory has developed and provided a rapid development of generalizations, improvements and refinements of the classical concept of convexity.…”

New inequalities of Hermite-Hadamard type for n-times differentiable convex and concave functions with applications

“…A number of papers have been written to extend, to generalize and to improve the inequality (1.1). Many papers can be found in literature to answer an important question of estimating the difference between the middle and the rightmost terms in (1.1) see for example [1,2], [4,5], [7], [9][10][11], [15], [17] and [18] and the references therein.…”