A Direct Link between Rényi-Tsallis Entropy and Hölder's Inequality-Yet Another Proof of Rényi-Tsallis Entropy Maximization. [PDF]
Entropy (Basel), 2019 The well-known Hölder’s inequality has been recently utilized as an essential tool for solving several optimization problems. However, such an essential role of Hölder’s inequality does not seem to have been reported in the context ...
Tanaka HA, Nakagawa M, Oohama Y.
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A New Refinement of Generalized Hölder’s Inequality and Its Application [PDF]
, 2013 We present a new refinement of generalized Hölder’s inequality due to Vasić and Pečarić.
Jingfeng Tian
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Refinements of Generalized Hölder’s Inequalities [PDF]
, 2014 We present some new versions of generalized Hölder’s inequalities.
Jingfeng Tian +2 more
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A new refinement of the generalized Hölder's inequality with applications
, 2022 In this paper, we prove a further generalized refinement of the weighted arithmetic-geometric mean inequality. As application, we show a new refinement of the generalized classical Hölder’s inequality and we give refinements to several inequalities for ...
Ighachane, Mohamed Amine +2 more
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Advances in Ostrowski-Mercer Like Inequalities within Fractal Space [PDF]
, 2023 The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Hüseyin Budak +9 more
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Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space [PDF]
, 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 ...
Guang-Sheng Chen
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Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space [PDF]
, 2014 We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space.
Guang-Sheng Chen +7 more
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Jensen Functional, Quasi-Arithmetic Mean and Sharp Converses of Hölder’s Inequalities
, 2021 In this article, we give sharp two-sided bounds for the generalized Jensen functional Jn(f,g,h;p,x). Assuming convexity/concavity of the generating function h, we give exact bounds for the generalized quasi-arithmetic mean An(h;p,x). In particular, exact
Todorčević, Vesna +3 more
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A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications
, 2022 In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means.
Muhammad Adil Khan +3 more
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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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