Lp Geominimal Surface Areas and their Inequalities
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Publication:5252100
DOI10.1093/imrn/rnu009zbMath1326.53086arXiv1308.4196OpenAlexW3104778585MaRDI QIDQ5252100
Publication date: 29 May 2015
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.4196
affine surface areaaffine isoperimetric inequality\(L_p\) geominimal surface areaSantalo style inequality
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\(L_{p}\)-dual geominimal surface area and general \(L_{p}\)-centroid bodies ⋮ The optimal problems for torsional rigidity ⋮ Isoperimetric and Brunn-Minkowski inequalities for the \((p, q)\)-mixed geominimal surface areas ⋮ Dual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas ⋮ \((p,q)\)-mixed geominimal surface area and \((p,q)\)-mixed affine surface area ⋮ Floating functions ⋮ On the polar Orlicz-Minkowski problems and the p-capacitary Orlicz-Petty bodies ⋮ Functional geominimal surface area and its related affine isoperimetric inequality ⋮ The \((\varphi, \psi)\) Orlicz mixed Petty bodies ⋮ The dual Orlicz-Minkowski problem ⋮ L_p dual mixed geominimal surface areas for multiple star bodies ⋮ Lp -dual geominimal surface areas for the general Lp-intersection bodies ⋮ The mixed Lp affine surface areas for functions ⋮ Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theory ⋮ Optimal problem for mixed \(p\)-capacities ⋮ The general dual Orlicz geominimal surface area ⋮ Orlicz Addition for Measures and an Optimization Problem for the -divergence ⋮ The (p, q)-mixed geominimal surface areas ⋮ The general dual-polar Orlicz-Minkowski problem ⋮ The Orlicz–Minkowski problem for measure in ℝn and Orlicz geominimal measures ⋮ New Orlicz affine isoperimetric inequalities
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