中图分类法:	O17 版次：
著者:	Simon, Barry,
题名:	Convexity : [ an analytic viewpoint /] / ,
出版发行:	出版地： Cambridge, U.K. ; 出版社： Cambridge University Press, 出版日期： 2011.
载体形态:	ix, 345 p. : ill. ; 24 cm.
内容提要:	"Convexity of sets and functions are extremely simple notions to define, so it may be somewhat surprising the depth and breadth of ideas that these notions give rise to. It turns out that convexity is central to a vast number of applied areas, including Statistical Mechanics, Thermodynamics, Mathematical Economics, and Statistics,and that many inequalities, including H?der's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (H?der, Minkowski, and Jensen), the Hahn-Banach theorem as a statement about extending tangents to convex functions, and the introduction of two constructions that will play major roles later in this book: