Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on a theorem of Gehring and Lehto


Author: A. G. Fadell
Journal: Proc. Amer. Math. Soc. 49 (1975), 195-198
MSC: Primary 26A54; Secondary 30A60
MathSciNet review: 0367132
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The concept of mesh approximate differential is defined as a modification of regular approximate differential. It is shown that for open continuous real-valued maps on open sets in $ n$-space the concepts of mesh approximate differentiability and total differentiability are equivalent, and the Gehring-Lehto theorem is obtained as a corollary by a sharpening of a known theorem on regular approximate differentials.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26A54, 30A60

Retrieve articles in all journals with MSC: 26A54, 30A60


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0367132-3
PII: S 0002-9939(1975)0367132-3
Keywords: Total differential, regular approximate differential, mesh approximate differential, open continuous mapping
Article copyright: © Copyright 1975 American Mathematical Society