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)


Some remarks on functions of $ \Lambda $-bounded variation

Authors: S. Perlman and D. Waterman
Journal: Proc. Amer. Math. Soc. 74 (1979), 113-118
MSC: Primary 26A45
MathSciNet review: 521883
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that if a $ \Lambda {\text{BV}}$ function has no external saltus, then its total $ \Lambda $-variation is independent of its values at points of discontinuity, and a function which is equal to the given function at points of continuity cannot have a lesser total $ \Lambda $-variation. Necessary and sufficient conditions are determined for one $ \Lambda {\text{BV}}$ space to contain another and for two spaces to be identical.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26A45

Retrieve articles in all journals with MSC: 26A45

Additional Information

PII: S 0002-9939(1979)0521883-X
Article copyright: © Copyright 1979 American Mathematical Society

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