Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1982 / Cilt: 31 #74354

A note on a theorem of Izumi

Pages
124–127
DOI
—

Abstract

If f (x) e Lip a (0 < a < 1) and Sn (x), the n-th partial sum of itş Fourier series, then f(x ) - S n (x) = o(l/n), where Ö (h) is a positive increasing function.