Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions

Document Type : Research Paper

Authors
1 Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey
2 Akdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey
Abstract
Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions are proven.
Keywords

Volume 8, Issue 1
July 2017
Pages 225-233

  • Receive Date 26 September 2016
  • Revise Date 12 April 2017
  • Accept Date 04 June 2017

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