A Sequence of Fourier Partial Sums not Containing 2¼Q

Authors

  • Mohsen Taghavi

DOI:

https://doi.org/10.30495/jme.v0i0.82

Keywords:

Fourier partial sums, trigonometric series, Fourier coefficients

Abstract

In this paper, we focus on the bounded sequences of Fourier partial sums. Our interest is on the sequences which do not contain any rational multiple of 2¼. We construct a function on C[T] where its set of points is one of such sequences. We will show that this set is of the first category in R. Moreover the complement of this set in any arbitrary real closed interval form an uncountable set.

Author Biography

Mohsen Taghavi

Department of Mathematics Associate Professor of Mathematics Shiraz University Shiraz, Iran

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Published

2011-05-01

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 2(1), (2011)

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