Asymptotic behavior of Laplace integrals and geometric characteristics of convex functions

被引：1

作者：

Napalkov, V. V.

Bashmakov, R. A.

Yulmukhametov, R. S.

机构：

[1] Russian Acad Sci, Math Inst, Ufa Sci Ctr, Ufa 450077, Russia

[2] Bashkir State Univ, Ufa 450074, Russia

来源：

DOKLADY MATHEMATICS | 2007年 / 75卷 / 02期

关键词：

Asymptotic Behavior; Convex Function; Geometric Characteristic; DOKLADY Mathematic; Supporting Hyperplane;

D O I：

10.1134/S1064562407020044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotic behavior of Laplace integrals and geometric characteristics of convex functions are analyzed. The results show that the set of points on a convex space onto a convex space is defined by a convex function depending on the Laplace integral. It is also shown that the convex set contains the origin and the convex space is the supreme of the convex points in the convex domain. In the one-dimensional case, the volume distance is considered in more detail and give definitions that are in a sense equivalent.

引用

页码：190 / 192

页数：3