A characterization of C{1,1} functions via lower directional derivatives

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F09%3A00010093" target="_blank" >RIV/61989592:15310/09:00010093 - isvavai.cz</a>

Alternative codes found

RIV/00216275:25310/09:00008503

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A characterization of C{1,1} functions via lower directional derivatives

Original language description

The notion of l^~ -stability is defined using the lower Dini directional derivatives and was introduced by the authors in their previous papers. In this paper we prove that the class of l^~ -stable functions coincides with the class of C^{1,1} functions.This also solves the question posed by the authors in SIAM J. Control Optim. 45 (1) (2006), pp. 383--387.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematica Bohemica

ISSN

0862-7959

e-ISSN

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Volume of the periodical

134

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

5

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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