Result: Improving Hölder's inequality

Title:
Improving Hölder's inequality
Authors:
Kichenassamy, Satyanad
Contributors:
Laboratoire de Mathématiques de Reims (LMR), Université de Reims Champagne-Ardenne (URCA)-Centre National de la Recherche Scientifique (CNRS)
Source:
Houston Journal of Mathematics. 35(1):303-312
Publisher Information:
CCSD, 2010.
Publication Year:
2010
Collection:
collection:CNRS
collection:URCA
collection:INSMI
collection:TDS-MACS
collection:LMR
Subject Terms:
Holder's inequality, remainder, functional equation, algebraic properties, Inégalité Hölder, équation fonctionnelle, aspects algébriques, [MATH.MATH-AP]Mathematics [math], Analysis of PDEs [math.AP], [MATH.MATH-FA]Mathematics [math], Functional Analysis [math.FA]
Original Identifier:
HAL: hal-00826949
Document Type:
Journal article<br />Journal articles
Language:
English
Access URL:
https://hal.science/hal-00826949
https://hal.science/hal-00826949v1/document
https://hal.science/hal-00826949v1/file/10-HJM.pdf
Rights:
info:eu-repo/semantics/OpenAccess
Accession Number:
edshal.hal.00826949v1
Database:
HAL

Further Information

We show that the remainder in Hölder's inequality (Rogers, 1888; Hölder, 1889) may be computed exactly. It satisfies functional equations, and possesses monotonicity and scaling properties. We obtain as a consequence improvements of recent sharpenings (Aldaz, 2008) of the classical inequality.