Glimpses upon Quasiconvex Analysis
نویسندگان
چکیده
We review various sorts of generalized convexity and we raise some questions about them. We stress the importance of some special subclasses of quasiconvex functions. Dedicated to Marc Attéia Résumé. Nous passons en revue quelques notions de convexité généralisée. Nous tentons de les relier et nous soulevons quelques questions. Nous soulignons l’importance de quelques classes particulières de fonctions quasiconvexes.
منابع مشابه
Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.
متن کاملIs every radiant function the sum of quasiconvex functions?
An open question in the study of quasiconvex function is the characterization of the class of functions which are sum of quasiconvex functions. In this paper we restrict attention to quasiconvex radiant functions, i.e. those whose level sets are radiant as well as convex and deal with the claim that a function can be expressed as the sum of quasiconvex radiant functions if and only if it is rad...
متن کاملQuasiconvex Programming
We define quasiconvex programming, a form of generalized linear programming in which one seeks the point minimizing the pointwise maximum of a collection of quasiconvex functions. We survey algorithms for solving quasiconvex programs either numerically or via generalizations of the dual simplex method from linear programming, and describe varied applications of this geometric optimization techn...
متن کاملIntroduction to Convex and Quasiconvex Analysis
In this paper the basic ideas of convex and quasiconvex analysis are discussed. Econometric Institute Report E.I.2001-26
متن کاملFirst- and Second-Order Asymptotic Analysis with Applications in Quasiconvex Optimization
We use asymptotic analysis to describe in amore systematic way the behavior at the infinity of functions in the convex and quasiconvex case. Starting from the formulae for the firstand second-order asymptotic function in the convex case, we introduce similar notions suitable for dealing with quasiconvex functions. Afterward, by using such notions, a class of quasiconvex vector mappings under wh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007