Results 41 to 50 of about 670,956 (234)
Minkowski’s inequality and sums of squares [PDF]
Open Mathematics, 2013 Abstract Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Péter E. Frenkel, Péter Horváth
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On Hölder and Minkowski Type Inequalities [PDF]
Abstract and Applied Analysis, 2014 We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev +2 more
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Inequalities for pqth-dual mixed volumes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In the paper, our main aim is to generalize the qth dual volume to Lp space, and introduce pqth-dual mixed volume by calculating the first order variation of qth dual volumes.
Zhao Chang-Jian, Bencze Mihály
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Log-Minkowski inequalities for the Lp $L_{p}$-mixed quermassintegrals
Journal of Inequalities and Applications, 2019 Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp $L_{p ...
Chao Li, Weidong Wang
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On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]
, 2015 In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than ...
Boczek, Michał, Kaluszka, Marek
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q-Hardy type inequalities for quantum integrals
Advances in Difference Equations, 2021 The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
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A Converse of Minkowski's Type Inequalities [PDF]
Journal of Inequalities and Applications, 2010 We formulate and prove a converse for a generalization of the classical Minkowski's inequality. The case when is also considered. Applying the same technique, we obtain an analog converse theorem for integral Minkowski's type inequality.
Romeo Meštrović, David Kalaj
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Refinements of the Converse Hölder and Minkowski Inequalities
Mathematics, 2022 We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić +2 more
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A Curved Brunn-Minkowski Inequality for the Symmetric Group [PDF]
, 2015 In this paper, we construct an injection $A \times B \rightarrow M \times M$ from the product of any two nonempty subsets of the symmetric group into the square of their midpoint set, where the metric is that corresponding to the conjugacy class of ...
Neeranartvong, Weerachai +2 more
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A converse of Minkowski's inequality
Discrete Mathematics, 2000 AbstractThe following converse of the classical Minkowski inequality was proved by H.
Horst Alzer, Stephan Ruscheweyh
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