A note on a theorem of Izumi

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:31
A note on a theorem of Izumi

A note on a theorem of Izumi

Authors : Huzoor H KHAN

Pages : 124-127

Doi:10.1501/Commua1_0000000128

View : 43 | Download : 7

Publication Date : 1982-01-01

Article Type : Research Paper

Abstract :If f insert ignore into journalissuearticles values(x); e Lip a insert ignore into journalissuearticles values(0 < a < 1); and Sn insert ignore into journalissuearticles values(x);, the n-th partial sum of itş Fourier series, then finsert ignore into journalissuearticles values(x ); - S n insert ignore into journalissuearticles values(x); = oinsert ignore into journalissuearticles values(l/n);, where Ö insert ignore into journalissuearticles values(h); is a positive increasing function.
Keywords : A note, Theorem, Izumi

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