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 Beckenbach-type inequality.
Abstract. In this paper, we present some refinements of a generalized Hölder's inequality, which is due to Vasić and Pečarić.Mathematics subject classification (2010): Primary 26D15; Secondary 26D10.
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