1. Some Hardy's inequalities on conformable fractional calculus
- Author
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AlNemer Ghada, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., and Kenawy Mohammed R.
- Subjects
hardy’s inequality ,chain rule ,conformable fractional calculus ,hölder’s inequality ,jensen’s inequality ,26d10 ,26d15 ,34n05 ,47b38 ,26a33 ,39a12 ,Mathematics ,QA1-939 - Abstract
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus. When α=1\alpha =1, we can obtain some of classical Copson’s and Hardy’s inequalities. In the end, we will obtain an application of Hardy’s inequality utilizing the conformable fractional calculus.
- Published
- 2024
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