Results 21 to 30 of about 1,075 (214)
Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms [PDF]
, 2020 summary:We establish some inequalities for general width-integrals of Blaschke-Minkowski homomorphisms.
Wang, Weidong, Li, Chao
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Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
Journal of Mathematics, 2021 In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.
Khuram Ali Khan +4 more
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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.
Frenkel Péter, Horváth Péter
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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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Refinements of some classical inequalities via superquadraticity [PDF]
, 2022 Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type.
Varosanec, Sanja, +7 more
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The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals
Journal of Mathematical Analysis and Applications, 2000 Let \(K,L\) be convex bodies in Euclidean space \(\mathbb{E}^n\) with volumes \(V(K)=V(L)=1\), and let \(V_1(K,L)\) denote the mixed volume \(V(K, \dots, K,L)\). Then \[ V(K+L)^{1/n} -2\leq V_1(K,L) -1\leq {1\over n}\bigl(V(K+L)-2^n \bigr). \] These inequalities provide a quantitative improvement of the known equivalence of the Brunn-Minkowski ...
Vassallo, Salvatore Flavio +1 more
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A nonabelian Brunn–Minkowski inequality
Geometric and Functional Analysis, 2023 AbstractHenstock and Macbeath asked in 1953 whether the Brunn–Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by Hrushovski, McCrudden, and Tao. We obtain here such an inequality and prove that it is sharp for helix-free locally compact groups, which includes real linear ...
Jing, Y, Tran, C-M, Zhang, R
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General inequalities via isotonic subadditive functionals [PDF]
, 2007 In this manuscript a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the ...
Lars-Erik Persson +7 more
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Some inequalities for radial Blaschke-Minkowski homomorphisms [PDF]
, 2017 summary:We establish some Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms with respect to Orlicz radial sums and differences of dual ...
Zeng, Zhenbing, Ji, Lewen
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A converse of Minkowski's inequality
Discrete Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Horst Alzer, Stephan Ruscheweyh
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