Add to ORKGA subset of a finite-dimensional real vector space is called evenly convex if it is the intersection of a collection of open halfspaces. The study of such sets was initiated in 1952 by Werner Fenchel, who defined a natural polarity operation and mentioned some of its properties. Over the years since then, evenly convex sets have made occasional appearances in the literature but there has been no systematic study of their basic properties. Such a study is undertaken in the present paper
A subset C of a normed vector space V is called a Chebyshev set if every point in V admits a unique ...
SummaryA convex subset K of a vector space E over the field of real numbers is linearly bounded (lin...
The idea of convexity is very important especially for probability theory, optimization and stochast...
A subset of a finite-dimensional real vector space is called evenly convex if it is the intersectio...
A subset of R^n is said to be evenly convex (e-convex, in breaf) if it is the intersection of some f...
AbstractThe aim of this paper is to present a geometric characterization of even convexity in separa...
The notion of convex set for subsets of lattices in one particular case was introduced in [1], where...
In a real finite -dimensional vector space, we study families of sets such that every compact convex...
Characterizations of the containment of a convex set either in an arbitrary convex set or in the com...
Restricted-orientation convexity is the study of geometric objects whose intersection with lines fro...
The paper studies separation properties for subsets of the space (Formula presented.) of normlinear ...
INTRODUCTION The study of convex sets is a branch of geometry, analysis, and linear algebra [5, 7] t...
Abstract. The ordinary and common notions of polarity of convex sets are remarkable among notions of...
Let V be a finite set and a collection of subsets of V. Then is an alignment of V if and only if ...
The evenly convex hull of a given set is the intersection of all the open halfspaces which contain ...
A subset C of a normed vector space V is called a Chebyshev set if every point in V admits a unique ...
SummaryA convex subset K of a vector space E over the field of real numbers is linearly bounded (lin...
The idea of convexity is very important especially for probability theory, optimization and stochast...
A subset of a finite-dimensional real vector space is called evenly convex if it is the intersectio...
A subset of R^n is said to be evenly convex (e-convex, in breaf) if it is the intersection of some f...
AbstractThe aim of this paper is to present a geometric characterization of even convexity in separa...
The notion of convex set for subsets of lattices in one particular case was introduced in [1], where...
In a real finite -dimensional vector space, we study families of sets such that every compact convex...
Characterizations of the containment of a convex set either in an arbitrary convex set or in the com...
Restricted-orientation convexity is the study of geometric objects whose intersection with lines fro...
The paper studies separation properties for subsets of the space (Formula presented.) of normlinear ...
INTRODUCTION The study of convex sets is a branch of geometry, analysis, and linear algebra [5, 7] t...
Abstract. The ordinary and common notions of polarity of convex sets are remarkable among notions of...
Let V be a finite set and a collection of subsets of V. Then is an alignment of V if and only if ...
The evenly convex hull of a given set is the intersection of all the open halfspaces which contain ...
A subset C of a normed vector space V is called a Chebyshev set if every point in V admits a unique ...
SummaryA convex subset K of a vector space E over the field of real numbers is linearly bounded (lin...
The idea of convexity is very important especially for probability theory, optimization and stochast...