THE ROSENTHAL–SZASZ INEQUALITY FOR NORMED PLANES

DOI10.1017/S0004972718000813zbMath1406.52004arXiv1804.00215OpenAlexW2803925537WikidataQ129318357 ScholiaQ129318357MaRDI QIDQ4645775

Vitor Balestro, Horst Martini

Publication date: 10 January 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00215

zbMATH Keywords

constant widthsupport functionnormed planeRadon planeanti-normRosenthal-Szasz inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Non-Euclidean differential geometry (53A35)

Related Items (3)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Isoperimetric Inequalities in Normed Planes ⋮ The orthotropic \(p\)-Laplace eigenvalue problem of Steklov type as \(p\rightarrow+\infty\)

Cites Work

• The isodiametric problem and other inequalities in the constant curvature 2-spaces
• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• On Reuleaux triangles in Minkowski planes
• Concepts of curvatures in normed planes
• Classical curve theory in normed planes
• Antinorms and Radon curves
• On the curves of constant relative width
• A $1 Problem
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