PROPERTIES OF ORDINARY AND WEIGHTED SUMS OF ORDER-P USED FOR DISTANCE

Authors
BRIMBERG J LOVE RF
Citation
J. Brimberg et Rf. Love, PROPERTIES OF ORDINARY AND WEIGHTED SUMS OF ORDER-P USED FOR DISTANCE, RAIRO. Recherche operationnelle, 29(1), 1995, pp. 59-72
Citations number
19
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science
Journal title
RAIRO. Recherche operationnelle → ACNP
ISSN journal
03990559
Volume
29
Issue
1
Year of publication
1995
Pages
59 - 72
Database
ISI
SICI code
0399-0559(1995)29:1<59:POOAWS>2.0.ZU;2-H
Abstract
Sums of order p are encountered in numerous practical applications; an example is the popular l(p) norm found in continuous location theory. This paper attempts to generalize various properties of ordinary and weighted sums of order p which are of theoretical and practical intere st. We expand the conditions for which Jensen's inequality holds. In a ddition, an important convexity result is generalized and an open ques tion posed by Beckenbach is resolved.