Generalizations and improvements of converse Jensen's inequality for convex hulls in R^k

Autor:	Pečarić, Josip, Perić, Jurica
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Jessen’s inequality Lah-Ribarič inequality convex functions convex hull k - simplex barycentric coordinates Hermite-Hadamard inequality
Popis:	In this paper we prove generalizations and improvements of Lah-Ribarič and related inequalities for convex functions on convex hulls in R^k and, analogously, for convex functions on k-simplices in R^k . We also verify that one of them is a generalization and an improvement of the Hermite-Hadamard inequality for simplices.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::de1d3811d0190e4ee2de57dc04aecd38 https://www.bib.irb.hr/674671 Zobrazit plný text záznamu