convex set

(redirected from Convex domain)

convex set

[′kän‚veks ′set]
(mathematics)
A set which contains the entire line segment joining any pair of its points.
References in periodicals archive ?
iii) ([phi] * zf')/([phi] * z[psi]') takes all its values in a convex domain D if f'/[psi]' takes all its values in D.
where F is a Frechet-differential operator defined on an open convex domain D of a Banach space X with values in a Banach space Y.
First we give error estimates in case of a convex domain, i.
By a convex domain we mean an open set which contains the line segment joining any two points of it.
Namely, for any n-dimensional convex domain there is the sharp inequality
where F: D [subset or equal to] X 6 X is an operator defined on an open convex domain D of a Banach space X with values in X.
1], on a simple convex domain which contain M, then
By reference [4], the convex domain formed by the convex combination of all the point vectors of each expert can be seen as the feasible domain of the weight vector of order alternatives.
D] [Lambda] of the Dirichlet Laplacian in a bounded convex domain [Omega] [element of] [R.
d] is a bounded, strictly convex domain with boundary of class [C.
It is well-known that if an analytic function maps the unit disk D univalently onto a convex domain, then it also maps each concentric subdisk onto a convex domain (cf.
He discusses in detail the Dirichlet problems for quasilinear and fully nonlinear elliptic equations of the second order: quasilinear uniformly elliptic equations in arbitrary domains, mean curvature equations in domains with non-negative boundary mean curvature, fully nonlinear uniformly elliptic equations in arbitrary domains, and Monge-Ampere equation in uniformly convex domains.