Aequationes mathematicae

, Volume 84, Issue 3, pp 261–269

Hermite–Hadamard type inequalities for the m- and (α, m)-geometrically convex functions


DOI: 10.1007/s00010-011-0114-x

Cite this article as:
Xi, BY., Bai, RF. & Qi, F. Aequat. Math. (2012) 84: 261. doi:10.1007/s00010-011-0114-x


In the paper the authors introduce concepts of the m- and (α, m)-geometrically convex functions and establish some inequalities of Hermite–Hadamard type for these classes of functions.

Mathematics Subject Classification (2000)

Primary 26D15Secondary 26A51


Hermite–Hadamard type inequalitym-geometrically convex function(α, m)-geometrically convex functionHölderinequalityintegral identity

Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.College of MathematicsInner Mongolia University for NationalitiesTongliaoChina
  2. 2.The Seventh School of NeijiangNeijiangChina
  3. 3.School of Mathematics and InformaticsHenan Polytechnic UniversityJiaozuoChina
  4. 4.Department of Mathematics School of ScienceTianjin Polytechnic UniversityTianjinChina