3. Examples of Fourier series development

3.1 Odd and even functions

Proposition 3

Let f ∊ L ¹ , a _n = a _n (f ) , b _n = b _n (f ) , c _n = c _n (f ).

a)If fis even, we have b _n = 0

and : $S_{N} (f, x) = \frac{a_{0}}{2} +$

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Examples of Fourier series development

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(1) - DAVIS (P.) - Interpolation and approximation.
(2) - KUIPERS (L.), NIEDERREITER (H.) - Uniform distribution of sequences. - Wiley-Interscience Series, 1974.
(3) - ZYGMUND (A.) - Trigonometric...

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