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Extensions and demonstrations of Hölder’s inequality

Journal of Inequalities and Applications, 2019
In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are particular cases of the inequalities presented. At
Fei Yan, Qin Gao
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A New Refinement of Generalized Hölder’s Inequality and Its Application [PDF]

Journal of Function Spaces and Applications, 2013
We present a new refinement of generalized Hölder’s inequality due to Vasić and Pečarić. Moreover, the obtained result is used to improve Beckenbach-type inequality due to Wang.
Jingfeng Tian
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Hölder’s inequality for shifted quantum integral operator

Examples and Counterexamples
We show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.
Andrea Aglić Aljinović, Lana Horvat Dmitrović, Ana Žgaljić Keko   +2 more
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Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space [PDF]

Journal of Function Spaces and Applications, 2013
Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.
Guang-Sheng Chen
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Gauss-Pólya Type Results and the Hölder Inequality [PDF]

, 2000
Some special Gauss–Pólya type inequalities are obtained by the use of Hölder’s ...
Pearce, Charles, Sunde, J, Dragomir, Sever S   +2 more
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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]

, 2004
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He, Dragomir, Sever S, Qiaoshun, Yang   +2 more
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Generalizations and refinements of Hölder’s inequality [PDF]

, 2012
Some generalizations and refinements of the well-known Hölder’s inequality are ...
Kim, Yong-In, Yang, Xiaojing
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Refinements of Hardy-Type Inequalities

Abstract and Applied Analysis, 2013
Using Hu Ke's inequality, which is a sharped Hölder's inequality, we present some new refinements of Hardy-type inequalities proposed by Imoru.
Jingfeng Tian, Yang-Xiu Zhou
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Extensions of Hölder’s Inequality via Pseudo-Integral

, 2018
Hölder’s inequality and its various extensions are playing very important roles in many branches of modern mathematics and physics. In this paper, we present some extensions of Hölder’s inequality via pseudo-integral.
Jing-Feng Tian, Ming-Hu Ha
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Generalized Hölder Inequality in Herz-Morrey Spaces with Variable Exponent

Science and Technology Indonesia
The paper investigates the conditions for the generalized Hölder’s inequality with a variable exponent in Herz-Morrey spaces. The main results are based on the exponent functions p(·) and α(·) .
Hairur Rahman, Corina Karim
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