New Generalizations of Hardy-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
* Corresponding author: aribike.e@mylaspotech.edu.ng
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
* Corresponding author: aribike.e@mylaspotech.edu.ng
Abstract
This paper consists of new generalizations of Hardy-type.integral inequalities and its reversed form on time scales byusing modified Jensen's inequality via convexity. Furthermore,multidimensional Hardy-type inequalities with weightFunctions on time scales are also investigated and proved.
Keywords
Hardy-type Inequality
Time Scales
Modied Jensen0s Inequality
Convex function
How to Cite
Aribike, E. E., & Rauf, K. (2019). New Generalizations of Hardy-type Inequalities on Time Scales. Nigerian Journal of Mathematics and Applications, 29(2), 24-35.
E. E. Aribike, and K. Rauf, "New Generalizations of Hardy-type Inequalities on Time Scales," Nigerian Journal of Mathematics and Applications, vol. 29, no. 2, pp. 24-35, December 2019.