Abstract
In this paper, we consider generalized conformable integrals to establish new Opial-type inequalities. The obtained results mainly depend on Hölder’s inequality, some algebraic inequalities, and a simple consequence of Keller’s chain rule on time scales. Our obtained results unify and extend some continuous and discrete inequalities. In the special case α=1, our results cover some well-known inequalities of Opial-type on time scales.
Original language | English |
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Article number | 152 |
Journal | Journal of Inequalities and Applications |
Volume | 2024 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 2024 |
Externally published | Yes |
Keywords
- Conformable fractional calculus
- Dynamic inequality
- Hölder inequality
- Opial-type inequality