International Journal of Nonlinear Analysis and Applications
The reverse diamond-α Minkowski inequality on time scales
Document Type : Research Paper
Author
1 Faculty of Material Sciences, University of Tiaret, Algeria
2 Laboratory of Informatics and Mathematics, University of Tiaret, Algeria
Abstract
In this paper, we give a new version of the reverse Minkowski inequality on time scales by applying diamond-$\alpha$ calculus for two parameters $p, q$ and a weight function $\nu$.
Keywords
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[2] M.R.S. Ammi and D.F.M. Torres, H¨older’s and Hardy’s two dimensional diamond-alpha inequalities on time
scales, Ann. Univ. Craiova Math. Comp. Science Ser. 37 (2010), no. 1.
[3] B. Benaissa, More on reverses of Minkowski’s inequalities and Hardy’s integral inequalities, Asian-Eur. J. Math,
13 (2020), no. 3, 2050064.
[4] J.W. Rogers Jr and Q. Sheng, Notes on the diamond-alpha dynamic derivative on time scales, J. Math. Anal.
Appl. 326 (2007), no. 1, 228–241.
[5] B. Sroysang, More on Reverses of Minkowski’s Integral Inequality, Math. Aeterna 3 (2013), no. 7, 597–600.
[6] W.T. Sulaiman, Reverses of Minkowski’s, H¨older’s, and Hardy’s integral inequalities, Int. J. Mod. Math. Sci. 1
(2012), no. 1, 14–24.
)
Volume 13, Issue 2
July 2022Pages 1795-1801
- Receive Date: 29 January 2021
- Accept Date: 04 March 2021