A note on a theorem of Izumi

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.
Keywords:

A note, Theorem Izumi,

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  • Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics