Research article

Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications

  • Received: 13 July 2020 Accepted: 16 September 2020 Published: 18 September 2020
  • MSC : 26A33, 39A12, 49K05

  • There is a strong connection between convexity and inequalities. So, techniques from each concept applies to the other due to the strong correlation between them; specifically, in the past few years. In this attempt, we consider the Hermite-Hadamard inequality and related inequalities for the class of functions whose absolute value of the third derivative are quasi-convex functions. Finally, the applications of our findings for special functions and particular functions are pointed out.

    Citation: Pshtiwan Othman Mohammed, Miguel Vivas-Cortez, Thabet Abdeljawad, Yenny Rangel-Oliveros. Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications[J]. AIMS Mathematics, 2020, 5(6): 7316-7331. doi: 10.3934/math.2020468

    Related Papers:

  • There is a strong connection between convexity and inequalities. So, techniques from each concept applies to the other due to the strong correlation between them; specifically, in the past few years. In this attempt, we consider the Hermite-Hadamard inequality and related inequalities for the class of functions whose absolute value of the third derivative are quasi-convex functions. Finally, the applications of our findings for special functions and particular functions are pointed out.


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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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