Convexity

In Section 3 we generalize some of the results presented in Sections 1 and 2 by adopting a geomerical viewpoint in an abstract context of euclidean spaces. Then, using a

In [4] convexity of the sequence m(n+1) has been established, and the natural question arises if m(x) is a convex function.. The main result of this paper is

By writing this history of performances, we realize that the border may be porous between science and performing arts: the archaeology of performance, which is the scientific study

To get a really well defined Riemannian manifold we would need to specify more closely a set of convex functions with prescribed behaviour at infinity,and then define the tangent

Let X be the normed vector space of all real null sequences with metric d induced by the usual

The idea is to approximate the infinite dimensional problem by a finite dimensional one, to show convexity of the minimizers of the finite dimensional problems and prove convergence

In the proof of the basic Theorem 2 we shall use a completely different way, namely the concept of periodically monotone functions, introduced by I.J.. Schoenberg

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