On Hölder's inequalities for convexity
type: Item
instance of: scholarly article
title: On Hölder's inequalities for convexity
zbMATH Open document ID: 0688.26010
DOI: 10.1016/0022-247X(89)90051-6
author: Guang-Rong You
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: Using the gauge j(x) of a convex set \(C\subset {\mathbb{R}}^ m\) (0\(\in C)\), which equals the infimum of \(\{t>0|\) \(x\in tC\}\) if this set is not empty and \(\infty\) if it is, the author offers companion pieces, generalizations and converses of the Cauchy-Schwartz, Hölder and Minkowski inequalities.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 4127537
zbMATH Keywords: cones
zbMATH Keywords: Minkowski inequality
zbMATH Keywords: Hölder inequality
zbMATH Keywords: Cauchy-Schwartz inequality
zbMATH Keywords: Kantorovich inequality
zbMATH Keywords: convex function
zbMATH Keywords: complementary inequalities
zbMATH Keywords: gauge
zbMATH Keywords: convex set
MaRDI profile type: Publication
cites work: Q5722776
cites work: Q3658220
cites work: Q5645344
cites work: Q2521114
cites work: Q4078262
description: scientific article; zbMATH DE number 4127537