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
The idea of convexity is very important especially for probability theory, optimization and stochast...
The present study on some infinite convex invariants. The origin of convexity can be traced back to...
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
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...
Let V be a finite set and a collection of subsets of V. Then is an alignment of V if and only if ...
Restricted-orientation convexity is the study of geometric objects whose intersection with lines fro...
The evenly convex hull of a given set is the intersection of all the open halfspaces which contain ...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
A subset C of a normed vector space V is called a Chebyshev set if every point in V admits a unique ...
The paper studies separation properties for subsets of the space (Formula presented.) of normlinear ...
The idea of convexity is very important especially for probability theory, optimization and stochast...
The present study on some infinite convex invariants. The origin of convexity can be traced back to...
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
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...
Let V be a finite set and a collection of subsets of V. Then is an alignment of V if and only if ...
Restricted-orientation convexity is the study of geometric objects whose intersection with lines fro...
The evenly convex hull of a given set is the intersection of all the open halfspaces which contain ...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
A subset C of a normed vector space V is called a Chebyshev set if every point in V admits a unique ...
The paper studies separation properties for subsets of the space (Formula presented.) of normlinear ...
The idea of convexity is very important especially for probability theory, optimization and stochast...
The present study on some infinite convex invariants. The origin of convexity can be traced back to...
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....