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Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales
Author(s) -
Saker S. H.,
O'Regan D.,
Agarwal R.
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300010
Subject(s) - mathematics , inequality , scale (ratio) , pure mathematics , calculus (dental) , mathematical economics , mathematical analysis , geography , medicine , cartography , dentistry
In this paper, we prove some new dynamic inequalities on time scales using Hölder's inequality and Keller's chain rule on time scales. These inequalities, as special cases when the time scale T = R and when T = N , contain some generalizations of integral and discrete inequalities due to Hardy, Copson, Leindler and Bennett.