Some generalizations of Hermite-Hadamard type inequalities

M Rostamian Delavar; M De La Sen

doi:10.1186/s40064-016-3301-3

Some generalizations of Hermite-Hadamard type inequalities

Springerplus. 2016 Sep 26;5(1):1661. doi: 10.1186/s40064-016-3301-3. eCollection 2016.

Authors

M Rostamian Delavar¹, M De La Sen²

Affiliations

¹ Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.
² Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia) - Aptdo. 644- Bilbao, 48080 Bilbao, Spain.

Abstract

Some generalizations and refinements of Hermite-Hadamard type inequalities related to [Formula: see text]-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.

Keywords: Hermite–Hadamard inequality; Integral inequalities; [Formula: see text]-convex function.