Quasiconcave functions

Ben Zion A. Rubshtein, Genady Ya Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this chapter we study quasiconcave functions in conjunction with fundamental functions of symmetric spaces. We show that every concave function is also quasiconcave, and conversely, for every quasiconcave function V, there exists its least concave majorant Ṽ, satisfying inequality 1/2≤ V ≤ Ṽ. We also show that fundamental functions of symmetric spaces are quasiconcave.

Original languageEnglish
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Number of pages11
StatePublished - 1 Jan 2016

Publication series

NameDevelopments in Mathematics
ISSN (Print)1389-2177


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