Some new Hermite–Hadamard type inequalities for functions whose n<sup>th</sup> derivatives are convex

Authors

  • B. Meftah Laboratoire des télécommunications, Faculté des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma
  • M. Merad Département des Mathématiques, Faculté des mathématiques, de l'informatique et des sciences de la matière, Université 8 mai 1945 Guelma
  • N. Ouanas Département des Mathématiques, Faculté des mathématiques, de l'informatique et des sciences de la matière, Université 8 mai 1945 Guelma
  • A. Souahi Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences Badji Mokhtar Annaba University, P.O. Box 12, Annaba, 23000

DOI:

https://doi.org/10.12697/ACUTM.2019.23.15

Keywords:

integral inequality, convex function, Hölder's inequality, power mean inequality

Abstract

We first create an integral identity for n-times differentiable functions. Relying on this identity, we establish some new Hermite–Hadamard type inequalities for functions whose nth derivatives are convex.

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Published

2020-01-14

Issue

Vol. 23 No. 2 (2019)

Section

Articles