In this paper, we present some new extensions of Hölder-type inequalities on time scales via diamond-α integral. Moreover, the obtained results are used to generalize Minkowski's inequality and Beckenbach-Dresher's inequality on time scales.
Abstract. In this paper, we present some new improvements of generalized Hölder's inequalities, and then we obtain a new refinement of Minkowski inequality. Moreover, the obtained results are used to improve Chung's inequality and Beckenbach-type inequality proposed by Wang.Mathematics subject classification (2010): 26D15, 26D10.
Abstract. Hölder's inequality and its various refinements are playing very important in mathematical analysis. In this paper, we give some new properties of generalized sharp Hölder's inequalities.Mathematics subject classification (2010): 26D15, 26D10.
Hölder's inequality and its various generalizations are playing very important and basic role in different branches of modern mathematics. In this paper, we give some new monotonicity properties of generalized Hölder's inequalities and then we obtain some new refinements of generalized Hölder's inequalities. c 2016 All rights reserved.
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