More on reverse of Holder's integral inequality
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In 2012, Sulaiman [7] proved integral inequalities concerning reverse of Holder's. In this paper two results are given. First one is further improvement of the reverse H\"{o}lder inequality. We note that many existing inequalities related to the H\"{o}lder inequality can be proved via obtained this inequality in here. The second is further generalization of Sulaiman's integral inequalities concerning reverses of Holder's [7].
Abstract
In 2012, Sulaiman [7] proved integral inequalities concerning reverse of Holder's. In this paper two results are given. First one is further improvement of the reverse H\"{o}lder inequality. We note that many existing inequalities related to the H\"{o}lder inequality can be proved via obtained this inequality in here. The second is further generalization of Sulaiman's integral inequalities concerning reverses of Holder's [7].
참고문헌 (7)
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- B. Halim, "Some generalizations involving open problems of F. Qi", Int. J. Open Problems Compt. Math, 12(1), pp.10~21 (2019)
- L. Xiao-Hua, "On the inverse of Hölder inequality", Math. Practice and Theory, 1(1), pp.84~88 (1990)
- D. S. Mitrinovic, "Classical and new inequalities in analysis", pp.126~127 (2013), Springer Science and Business Media
- J. Pecaric, "On an inverse to the Hölder inequality", Int. J. Mathematics and Mathematical Sciences, 20(1), pp.205~207 (1997)
- S. Saitoh, "Reverse convolution inequalities and applications to inverse heat source problems", J. Inequal. Pure Appl. Math, 3(5), pp.80~ (2002)
- W. T. Sulaiman, "Reverses of Minkowski's, Hölder's, and Hardy's integral in-equalities", Int. J. Mod. Math. Sci, 1(1), pp.14~24 (2012)