R_n^+ 上凸函数的严格凸与限制增长性

Strict Convex and Moderate Increment of Convex Function on R + n

引入Ｒ＋ｎ上凸函数具有一般意义的上、下指数，得到Ｒ＋ｎ上相互共轭凸函数上、下指数之间完整的共轭关系，由此给出多维凸函数与其共轭凸函数，关于严格凸与限制增长性二者之间关系的完整刻划。

General upper (resp. lower ) exponents of convex function on R + n are introduced, the conjugate relationship about the upper and lower exponents for mutual conjugate convex function on R + n is given. As a result, the complete properties about strict convex and moderate increment for mutual conjugate convex on R + n are abtained.