Some New Fractional Hermite-Hadamard Type Inequalities for Generalized Class of Godunova-Levin Functions by Means of Interval Center-Radius Order Relation with Applications

Authors

  • Waqar Afzal
  • Mehreen S. Khan Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia.
  • Mutum Zico Meetei Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
  • Mujahid Abbas
  • Jorge E. Mac´ıas-D´ıaz
  • Hector Varlas-Rodriguez

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5594

Keywords:

Hermite-Hadamard; cr-order; special means; interval-valued; fractional integrals.

Abstract

The purpose of this article is to establish several new forms of Hermite-Hadamard inequalities by utilizing fractional integral operators via a totally interval midpoint-radius order relation for differentiable Godunova-Levin mappings. Moreover, in order to verify our main results, we construct some non-trivial examples and remarks that lead to other generalized convex mappings with different settings. Furthermore, we exploit special cases of H ̈older’s, Young’s, and Minkowski-type inequalities in order to develop new bounds of Hermite-Hadamard inequality. Finally, we relate our key results with special means and demonstrate some of their applications.

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Published

2024-10-31

Issue

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Waqar Afzal , Mehreen S. Khan, Mutum Zico Meetei, Mujahid Abbas, Jorge E. Mac´ıas-D´ıaz, Hector Varlas-Rodriguez

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How to Cite

Some New Fractional Hermite-Hadamard Type Inequalities for Generalized Class of Godunova-Levin Functions by Means of Interval Center-Radius Order Relation with Applications. (2024). European Journal of Pure and Applied Mathematics, 17(4), 4014-4049. https://doi.org/10.29020/nybg.ejpam.v17i4.5594