Dynamic inequalities of Steffensen’s type for diamond-α integrable functions on time scales
Abstract
The current work explores some novel dynamic inequalities of the Steffensen type on time scales by using the diamond-α, which is characterized as a linear mixture of the delta and nabla integrals. The derived inequalities not only offer a generalization of some dynamic inequalities but also extend a few recognized continuous inequalities by establishing new discrete inequalities on time scales.
- Published
- 22 December 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Labeeb Ahmad, Hamna Younas. 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, H. Younas, Dynamic inequalities of Steffensen’s type for diamond-α integrable functions on time scales, Adv. Inequal. Appl. 2025 (2025), 8. https://doi.org/10.28919/aia/9645
BibTeX
@article{Ahmad2025,
author = {Ahmad, Labeeb and Younas, Hamna},
title = {Dynamic inequalities of Steffensen’s type for diamond-α integrable functions on time scales},
journal = {Adv. Inequal. Appl.},
volume = {2025},
year = {2025},
pages = {8},
doi = {10.28919/aia/9645}
}