On Hadamard’s inequality for the convex mappings defined on a convex domain in the space. (English) Zbl 0949.26008

Gavrea, Bogdan

JIPAM, J. Inequal. Pure Appl. Math. 1, No. 1, Paper No. 9, 6 p. (2000).

The author obtains Hadamard type inequalities for triple integrals. Some mappings naturally connected with these inequalities are considered and their properties are investigated, generalizing recent results of S. S. Dragomir.

Reviewer: I.Raşa (Cluj-Napoca)

MSC:

26D15	Inequalities for sums, series and integrals
26B25	Convexity of real functions of several variables, generalizations

Keywords:

convex functions; Hadamard type inequalities