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A new reversed version of a generalized sharp Hölder’s inequality and its applications. (English) Zbl 1270.90104

Summary: We present a new reversed version of a generalized sharp Hölder’s inequality which is due to Wu and then give a new refinement of Hölder’s inequality. Moreover, the obtained result is used to improve the well-known Popoviciu-Vasić inequality. Finally, we establish the time scales version of the Beckenbach-type inequality.

MSC:

90C48 Programming in abstract spaces
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