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)


On a theorem of Stanojević

Author: William O. Bray
Journal: Proc. Amer. Math. Soc. 83 (1981), 59-62
MSC: Primary 42A32; Secondary 42A20
MathSciNet review: 619981
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A new direct proof of a theorem of Stanojević is given. Consequently it is proven that the Fomin class $ {\mathcal{F}_p}(1 < p \leqslant 2)$ is a subclass of the class $ \mathcal{B}\mathcal{V} \cap \mathcal{C}$, where $ \mathcal{C}$ is the Garrett-Stanojević class and $ \mathcal{B}\mathcal{V}$ is the class of null sequences of bounded variation. This also provides a new direct proof of Fomin's theorem.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42A32, 42A20

Retrieve articles in all journals with MSC: 42A32, 42A20

Additional Information

PII: S 0002-9939(1981)0619981-4
Keywords: $ {L^1}$ convergence of Fourier series, integrability of cosine series
Article copyright: © Copyright 1981 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