# Fejér polynomial

A trigonometric polynomial of the form

$$\sum_{k=1}^n\frac1k(\cos(2n+k)x-\cos(2n-k)x),$$

or a similar polynomial in sines. Fejér polynomials are used in constructing continuous functions for which their Fourier series have given singularities.

#### References

 [1] N.K. [N.K. Bari] Bary, "A treatise on trigonometric series" , Pergamon (1964) (Translated from Russian) MR0171116 Zbl 0129.28002
How to Cite This Entry:
Fejér polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fej%C3%A9r_polynomial&oldid=31903
This article was adapted from an original article by S.A. Telyakovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article