Some remarks on Hadamard’s inequalities for convex functions. (English) Zbl 0984.26012

Dragomir, Sever Silvestru

Extr. Math. 9, No. 2, 88-94 (1994).

In [J. Math. Anal. Appl. 167, No. 1, 49-56 (1992; Zbl 0758.26014)], the author introduced two mappings associated to a convex function and gave some applications concerning Hadamard’s inequality. The present paper offers a continuation and contains other refinements of this classical inequality.

Reviewer: I.Raşa (Cluj-Napoca)

MSC:

26D15	Inequalities for sums, series and integrals
26A51	Convexity of real functions in one variable, generalizations

Keywords:

convex functions; Hadamard inequality; integral inequality

Citations:

Zbl 0758.26014