Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions

Document Type : Research Paper

Authors

1 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

2 Department of Mathematics, University of Jiroft, Jiroft, Iran

Abstract

In this paper, we give some inequalities for di erentiable convex functions which are connected with the Hermite-Hadamard's integral inequality holding for convex functions. Also, we obtain some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of fourth derivatives raised to positive real powers are m-convex. Finally, some natural applications to special means of real numbers are given.

Keywords

References

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Journal of Mahani Mathematical Research
Volume 9, Issue 2
October 2020
Pages 55-67

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History

  • Receive Date: 24 July 2019
  • Revise Date: 24 April 2020
  • Accept Date: 21 July 2020

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