Bibliographic Details
| Title: |
Some generalizations of dynamic Opial-type inequalities in conformable calculus. |
| Authors: |
Khamis, Fatma M.1 (AUTHOR) drfatma805@gmail.com, El-Sheikh, M. M. A.2 (AUTHOR), Abdeljawad, Thabet3,4,5,6 (AUTHOR), Mukheimer, Aiman3 (AUTHOR), Ismail, Gamal A. F.1 (AUTHOR) |
| Source: |
Journal of Inequalities & Applications. 11/29/2024, Vol. 2024 Issue 1, p1-15. 15p. |
| Subject Terms: |
*FRACTIONAL calculus, *GENERALIZED integrals, *CALCULUS, *GENERALIZATION |
| 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. [ABSTRACT FROM AUTHOR] |
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