An alexsandrov type theorem for k-convex functions

Chaudhuri, Nirmalendu; Trudinger, Neil S.

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An alexsandrov type theorem for k-convex functions

Date

2005

Authors

Chaudhuri, Nirmalendu

Trudinger, Neil S.

Abstract

In this note we show that k-convex functions on ℝn are twice differentiable almost everywhere for every positive integer k > n/2. This generalises Alexsandrov's classical theorem for convex functions. Copyright Clearance Centre, Inc.

URI

https://dspace-test.anu.edu.au/handle/1885/733755247

Collections

DevOps Pure Testing

Source

Bulletin of the Australian Mathematical Society

Type

Article

DOI

10.1017/s0004972700038260

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An alexsandrov type theorem for k-convex functions

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