𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Formula on the Conjugate of the Max of a Convex Function and a Concave Function

✍ Scribed by Michel Volle


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
137 KB
Volume
220
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Maximizing the ratio of two convex funct
✍ Harold P. Benson 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 126 KB

## Abstract The purpose of this article is to present an algorithm for globally maximizing the ratio of two convex functions __f__ and __g__ over a convex set __X__. To our knowledge, this is the first algorithm to be proposed for globally solving this problem. The algorithm uses a branch and bound

On the Expansion of a Product Formula Re
✍ Bartolomé López; Bodo Wack 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 109 KB

In this work, we study the expansion of a product function U related to the Drinfeld discriminant 2(z); U is the analogue of the classical '-function. The main result is the formula given in Theorem 3.1. From this formula, we derive the fact that the expansion of U is lacunary for q>2 (Theorem 3.3)

Quasi–concave envelope of a function and
✍ Andrea Colesanti; Paolo Salani 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 170 KB

## Abstract Given a __C__^2^ function __u__, we consider its quasi–convex envelope __u__\* and we investigate the relationship between __D__^2^__u__ and __D__^2^__u__\* (the latter intended in viscosity sense); we obtain two inequalities between the tangential Laplacian of __u__ and __u__\* and the

On a Class of p- Valently α-Convex Funct
✍ Shigeyoski Owa; Fuyao Ren 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB

The object of the present paper is to prove some properties of a class blp(a) of pvalently a-convex functions in the unit disk. Also, an integral representation for functions belong ing to the class Mp(a) is shown.

The weak topology on q-convex Banach fun
✍ L. Agud; J. M. Calabuig; E. A. Sánchez Pérez 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB 👁 1 views

## Abstract Let __X__(μ) be a Banach function space. In this paper we introduce two new geometric notions, __q__‐convexity and weak __q__‐convexity associated to a subset __S__ of the unit ball of the dual of __X__(μ), 1 ≤ __q__ < ∞. We prove that in the general case both notions are not equivalent

A new constraint qualification for the f
✍ Radu Ioan Boţ; Sorin-Mihai Grad; Gert Wanka 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 248 KB 👁 1 views

## Abstract In this paper we work in separated locally convex spaces where we give equivalent statements for the formulae of the conjugate function of the sum of a convex lower‐semicontinuous function and the precomposition of another convex lower‐semicontinuous function which is also __K__ ‐increa