Caputo fractional derivative inequalities for refined modified (h,m)-convex functions
Abstract
In this paper, we introduce a new convex function called refined modified (h,m)−convex function and establish Hadamard-type inequalities for this new definition via Caputo k−fractional derivatives. Then by applying two integral identities including the nth order derivatives of given functions we prove estimation of Hadamard type inequalities for the Caputo k−fractional derivatives.
- Published
- 18 July 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Labeeb Ahmad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
L. Ahmad, Caputo fractional derivative inequalities for refined modified (h,m)-convex functions, Adv. Inequal. Appl. 2025 (2025), 5. https://doi.org/10.28919/aia/9252
BibTeX
@article{Ahmad2025,
author = {Ahmad, Labeeb},
title = {Caputo fractional derivative inequalities for refined modified (h,m)-convex functions},
journal = {Adv. Inequal. Appl.},
volume = {2025},
year = {2025},
pages = {5},
doi = {10.28919/aia/9252}
}