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SOME NEW DISCRETE INEQUALITIES OF OPIAL WITH TWO SEQUENCES
Xu Han,Sha Li,Qiaoluan Li
(College of Math. and Information Science, Hebei Normal University, Shijiazhuang 050024, Hebei, PR China)
DOI:
Abstract:
In this paper, we establish some new discrete inequalities of Opial-type with two sequences by making use of some classical inequalities. These results contain as special cases improvements of results given in the literature, and these improvements are new even in the important discrete case.
Key words:  Opial type inequality; H\"{o}lder's inequality; forward difference operator; backward difference operator