Difference between revisions of "Fejér polynomial"
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A trigonometric polynomial of the form | 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. | or a similar polynomial in sines. Fejér polynomials are used in constructing continuous functions for which their Fourier series have given singularities. | ||
Latest revision as of 15:11, 23 April 2014
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=24438
Fejér polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fej%C3%A9r_polynomial&oldid=24438
This article was adapted from an original article by S.A. Telyakovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article