Results 31 to 40 of about 1,239,021 (236)
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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The Brunn–Minkowski inequality for the first eigenvalue of the Ornstein–Uhlenbeck operator and log-concavity of the relevant eigenfunction [PDF]
Analysis & PDEWe prove that the first (nontrivial) Dirichlet eigenvalue of the Ornstein-Uhlenbeck operator $$ L(u)=\Delta u-\langle\nabla u,x\rangle\,, $$ as a function of the domain, is convex with respect to the Minkowski addition, and we characterize the equality ...
A. Colesanti +3 more
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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 inequality
Discrete Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Horst Alzer, Stephan Ruscheweyh
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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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Sharp quantitative stability of the planar Brunn–Minkowski inequality [PDF]
Journal of the European Mathematical Society (Print), 2019 We prove a sharp stability result for the Brunn-Minkowski inequality for $A,B\subset\mathbb{R}^2$. Assuming that the Brunn-Minkowski deficit $\delta=|A+B|^{\frac{1}{2}}/(|A|^\frac12+|B|^\frac12)-1$ is sufficiently small in terms of $t=|A|^{\frac{1}{2}}/(|
Peter van Hintum, Hunter Spink, M. Tiba
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Orlicz Mean Dual Affine Quermassintegrals
Journal of Function Spaces, 2018 Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
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Cyclic Brunn–Minkowski inequalities for general width and chord-integrals
Journal of Inequalities and Applications, 2019 In this paper, we establish two cyclic Brunn–Minkowski inequalities for the general ith width-integrals and general ith chord-integrals, respectively. Our works bring the cyclic inequality and Brunn–Minkowski inequality together.
Linmei Yu, Yuanyuan Zhang, Weidong Wang
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On The Reverse Minkowski’s Integral Inequality
Kragujevac Journal of Mathematics, 2022 The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p < 0, respectively.
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The Dual Orlicz–Aleksandrov–Fenchel Inequality
Mathematics, 2020 In this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity ...
Chang-Jian Zhao
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