On a theorem of stanojević

Abstract

A new direct proof of a theorem of Stanojević is given. Consequently it is proven that the Fomin class ℱp (1 < p < 2) is a subclass of the class ℬ v ⋂ e, where e is the Garrett-Stanojević class and ℬ v is the class of null sequences of bounded variation. This also provides a new direct proof of Fomin’s theorem. © 1981 American Mathematical Society.

Document Type

Article

DOI

https://doi.org/10.1090/S0002-9939-1981-0619981-4

Keywords

Integrability of cosine series, L convergence of Fourier series 1

Publication Date

1-1-1981

Journal Title

Proceedings of the American Mathematical Society

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