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AIMS Mathematics

2020, Volume 5, Issue 1: 629-639. doi: 10.3934/math.2020042
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Research article

Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications

  • 1.
    Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
  • 2.
    Department of Mathematics, GC University, Faisalabad, Pakistan
  • 3.
    Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
  • Received: 07 October 2019 Accepted: 04 December 2019 Published: 16 December 2019

  • MSC : 26A33, 26A51, 26D15, 26E60

  • The main objective of this paper is to derive some new k-fractional refinements of HermiteHadamard like inequalities. We also discuss some new special cases of the main results. In the last section, we discuss applications, which shows the significance of the obtained results.

    Citation: Bandar Bin-Mohsin, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor. Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications[J]. AIMS Mathematics, 2020, 5(1): 629-639. doi: 10.3934/math.2020042

    Related Papers:

  • The main objective of this paper is to derive some new k-fractional refinements of HermiteHadamard like inequalities. We also discuss some new special cases of the main results. In the last section, we discuss applications, which shows the significance of the obtained results.


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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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