Some Generalizations of Opial-type Inequalities on Time Scales
1 Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi, Nigeria
4 University of Ilorin, Nigeria
* Corresponding author: aribike.e@mylaspotech.edu.ng
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi, Nigeria
4 University of Ilorin, Nigeria
* Corresponding author: aribike.e@mylaspotech.edu.ng
Abstract
Opial-type inequalities has grown into a substantial field
with many applications in proving the existence and
uniqueness of solutions of initial and boundary value problems for differential equations. We shall obtain Hua’s
inequality on time scales The methodology employed in
this paper is the H¨older’s inequality for convex functions.
Keywords
Opial Inequality
Hua0 s Inequality
Holder’s Inequality and Convex functions
Opial inequality
Jensen Inequality
How to Cite
Aribike, E. E., Anthonio, O., Aniki, S. A., & RAUF, K. (2022). Some Generalizations of Opial-type Inequalities on Time Scales. Nigerian Journal of Mathematics and Applications, 32(1), 22-30. https://doi.org/10.67897/njma.2022.tl3im48l
E. E. Aribike, O. Anthonio, S. A. Aniki, and K. RAUF, "Some Generalizations of Opial-type Inequalities on Time Scales," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 22-30, June 2022. doi: 10.67897/njma.2022.tl3im48l