Hermite–Hadamard type inequalities involving fractional integrals of exponentially convex functions

Authors

  • Danish Malik National Institute of Technology, Srinagar, J&K, India
  • Zamrooda Jabeen National Institute of Technology, Srinagar, J&K, India

DOI:

https://doi.org/10.3842/umzh.v77i5.8384

Keywords:

Convexity, Hermite-Hadamard Inequality, Exponential Convexity, Fractional Integral

Abstract

UDC 517.5

We derive multiple inequalities employing  exponential kernels in the context of fractional integrals. Within the framework of fractional calculus techniques, we explore novel Hermite–Hadamard type and Hermite–Hadamard–Fejér type inequalities applied to exponentially convex functions. These results provide valuable insights into the properties of exponentially convex functions and demonstrate the significance of fractional calculus in their analysis.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 5, 2025.

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Published

23.07.2025

Issue

Vol. 77 No. 5 (2025)

Section

Research articles

License

Copyright (c) 2025 Danish Malik, Zamrooda Jabeen

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Malik, Danish, and Zamrooda Jabeen. “Hermite–Hadamard Type Inequalities Involving Fractional Integrals of Exponentially Convex Functions”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 5, July 2025, p. 367, https://doi.org/10.3842/umzh.v77i5.8384.