Generalizations of integral inequalities for functions whose second derivatives are convex and $m$-convex

Hermite-Hadamard Type Inequalities for Functions whose Third Derivatives are Convex and s-Convex

Hermite-Hadamard Type Inequalities for Functions whose Derivatives in Absolute Value are Convex and s-Convex

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this article, some new generalized Hermite-Hadamard type inequalities for functions whose derivatives in absolute values are convex, concave, s-convex in the second sense, and s-concave in the second sense are established.

New Inequalities of Hermite-hadamard Type for Functions Whose Second Derivatives Absolute Values Are Quasi-convex

hold. This double inequality is known in the literature as the Hermite–Hadamard inequality for convex functions. In recent years many authors established several inequalities connected to this fact. For recent results, refinements, counterparts, generalizations and new Hermite-Hadamard’stype inequalities see [1]–[18]. We recall that the notion of quasi-convex function generalizes the notion of ...

Ostrowski type inequalities for functions whose derivatives are preinvex

In this paper‎, ‎making use of a new identity‎, ‎we establish new‎ ‎inequalities of Ostrowski type for the class of preinvex functions and‎ ‎gave some midpoint type inequalities‎.

Generalization of Hermite-Hadamard Type Inequality for Functions whose Derivatives in Absolute Value are Convex and (α,m)-Convex

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this article, some new Hadamard-like, which estimate the difference between 1 b−a b a f (x)dx and 1 2 f (n−1)a+b n + f a+(n−1)b n for n ∈ N with n ≥ 1, are established for functions whose derivative in absolute values are c...