Convexity and almost convexity in groups

Witold Jarczyk

Type: Article

Publication Date: 2013-01-01

Citations: 1

DOI: https://doi.org/10.4064/bc99-0-5

Abstract

We give a review of results proved and published mostly in recent years, concerning real-valued convex functions as well as almost convex functions defined on a (not necessarily convex) subset of a group. Analogues of such classical results as the theorem

Locations

Banach Center Publications - View - PDF

Similar Works

Action	Title	Year	Authors
+	Almost Convex Subsets	2005	Alexander Lytchak
+	Convex sets and convex functions	2007
+	CONVEX SETS AND CONVEX FUNCTIONS	1959
+ PDF Chat	Almost convex functions	1970	Marek Kuczma
+	A convexity theorem for certain groups of transformations	1952	I. I. Hirschman
+	Convex and order-convex sets	1977
+	Convexity and convex sets	2010	Marcel Berger
+ PDF Chat	Convexity properties of functions defined on metric Abelian groups	2020	Włodzimierz Fechner Zsolt Páles
+	Convex functions and sets	2011	Barry Simon
+	Convex sets and functions	2005
+	Convexity and Banach spaces	2015	Barry Simon
+	2 Convex sets and convex functions	2014
+	Convex functions and Orlicz spaces	1961	M. A. Krasnosel’skii I︠a︡. B. Rutit︠s︡kiĭ Leo F. Boron
+	On a Class of Convex Sets and Functions	2005	Pierre Maréchal
+	Convexity	2012	Erhan Çınlar Robert J. Vanderbei
+	Convex sets and convex cones	2006	S.M. Sinha
+	1. Convex sets and convex functions	1989
+	Convex functions on compact C*-convex sets	2020	Ismail Nikoufar
+	Convex analysis in groups and semigroups: a sampler	2015	Jonathan M. Borwein Ohad Giladi
+	Convex analysis in groups and semigroups: a sampler	2015	Jonathan M. Borwein Ohad Giladi

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Improving regularity of solutions of a difference equation	2015	Witold Jarczyk

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Sur les fonctions convexes mesurables	1920	Wacław Sierpiński
+	An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality	2008	Marek Kuczma
+	Midconvex functions in locally compact groups	1999	Arsalan Chademan F. Mirzapour
+	Almost convexity on Abelian groups	2010	Witold Jarczyk
+ PDF Chat	On Weak Generalized Stability and (c,d)-Pseudostable Random Variables via Functional Equations	2008	Witold Jarczyk Jolanta Misiewicz
+ PDF Chat	Zur Theorie der konvexen Funktionen	1915	Felix Bernstein Gustav Doetsch
+ PDF Chat	Extending n-convex functions	2005	Allan Pinkus Dan Wulbert
+	Quasi M-convex and L-convex functions—quasiconvexity in discrete optimization	2003	Kazuo Murota Akiyoshi Shioura
+	Discrete convexity: convexity for functions defined on discrete spaces	2002	Ümit Yüceer
+ PDF Chat	On some functional equations with a restricted domain	1975	Roman Ger