Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Differentiability of Peano derivatives

Author: Andreas Fischer
Journal: Proc. Amer. Math. Soc. 136 (2008), 1779-1785
MSC (2000): Primary 26B05
Published electronically: December 18, 2007
MathSciNet review: 2373608
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Peano differentiability is a notion of higher-order Fréchet differentiability. H. W. Oliver gave sufficient conditions for the $ m^{{th}}$ Peano derivative to be a Fréchet derivative in the case of functions of a real variable. Here we generalize this theorem to functions of several variables.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 26B05

Retrieve articles in all journals with MSC (2000): 26B05

Additional Information

Andreas Fischer
Affiliation: Department of Mathematics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan S7N 5E6, Canada

PII: S 0002-9939(07)09320-3
Received by editor(s): October 28, 2005
Received by editor(s) in revised form: April 17, 2006
Published electronically: December 18, 2007
Additional Notes: The author’s research was supported by EC-IHP-Network RAAG (Contract-No: HPRN-CT-2001-00271)
Communicated by: David Preiss
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia