GENERALIZED 2ND-ORDER DERIVATIVES OF CONVEX-FUNCTIONS IN REFLEXIVE BANACH-SPACES

被引：28

作者：

DO, CN ^{[1
]}

机构：

[1] UNIV RHODE ISL, DEPT MATH, KINGSTON, RI 02881 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 334卷 / 01期

关键词：

GENERALIZED 2ND-ORDER DERIVATIVES; EPICONVERGENCE; MOSCO CONVERGENCE; EPIDERIVATIVES; PROTODERIVATIVES; INTEGRAL FUNCTIONALS; NORMAL INTEGRANDS;

D O I：

10.2307/2153983

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalized second-order derivatives introduced by Rockafellar in finite-dimensional spaces are extended to convex functions in reflexive Banach spaces. Parallel results are shown in the infinite-dimensional case. A result that plays an important role in applications is that the generalized second-order differentiability is preserved under the integral sign.

引用

页码：281 / 301

页数：21

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