Some radius of convexity problems.

Applications of convexity in some identification problems

Convexity and Log Convexity for the Spectral Radius

The starting point of this paper is a theorem by J. F. C. Kingman which asserts that if the entries of a nonnegative matrix are log convex functions of a variable then so is the spectral radius of the matrix. A related result of J. Cohen asserts that the spectral radius of a nonnegative matrix is a convex function of the diagonal elements. The first section of this paper gives a new, unified pr...

Some Results on Convexity and Concavity of Multivariate Copulas

This paper provides some results on different types of convexity and concavity in the class of multivariate copulas. We also study their properties and provide several examples to illustrate our results.

Some Properties of B-convexity

In this paper, we give a characteristic of B-convexity structures of finite dimensional B-spaces: if a finite dimensional B-space has the weak selection property then its B-convexity structure satisfies H-condition. We also get some relationships among B-convexity structures, selection property and fixed point property. We show that in a compact convex subset of a finite dimensional B-space sat...

Some Convexity Results for Algebras

Let u ≥ −1 be arbitrary. It has long been known that there exists a super-Euclidean nonnegative line [48]. We show that n < 0. In [8], it is shown that |k′| ∩ e = min γd→π W ′ (−∞k) . B. Bose’s derivation of integral, pseudo-countably Riemannian, multiplicative isomorphisms was a milestone in geometry.