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The reverse diamond-α Minkowski inequality on time scales | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 144، دوره 13، شماره 2، مهر 2022، صفحه 1795-1801 اصل مقاله (340.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22507.2376 | ||
| نویسنده | ||
| Bouharket Benaissa* 1، 2 | ||
| 1Faculty of Material Sciences, University of Tiaret, Algeria | ||
| 2Laboratory of Informatics and Mathematics, University of Tiaret, Algeria | ||
| تاریخ دریافت: 10 بهمن 1399، تاریخ پذیرش: 14 اسفند 1399 | ||
| چکیده | ||
| 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 $\nu$. | ||
| کلیدواژه‌ها | ||
| Holder’s inequality؛ Diamond-alpha integrals؛ Time scale | ||
| مراجع | ||
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[1] R.P. Agarwal, D. O’Regan and S.H. Saker, Hardy type inequalities on time scales, Springer International Publishing Switzerland, 2016. [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. | ||
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