Saker, S. H.Tunc, C.Mahmoud, R. R.2025-05-102025-05-1020181331-434310.7153/mia-2018-21-662-s2.0-85055501129https://doi.org/10.7153/mia-2018-21-66https://hdl.handle.net/20.500.14720/16053Tunc, Cemil/0000-0003-2909-8753; Mahmoud, Ramy Ramadan/0000-0002-2427-7261In this paper, we will prove some new dynamic inequalities of Carlson and Hardy-Littlewood types on an arbitrary time scale T. These inequalities as special cases contain the classical continuous and discrete Carlson-Bellman and Hardy-Littlewood type inequalities. The results will be proved by employing the time scales Holder inequality, some algebraic inequalities and some basic lemmas designed and proved for this purpose.eninfo:eu-repo/semantics/openAccessCarlson-Bellman InequalityHardy-Littlewood InequalityTime ScalesNew Carlson-Bellman and Hardy-Littlewood Dynamic InequalitiesArticle214Q2Q2967983WOS:000458753800005