Trigonometric polynomial

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finite trigonometric sum

An expression of the form

with real coefficients , ; the number is called the order of the trigonometric polynomial (provided ). A trigonometric polynomial can be written in complex form:


Trigonometric polynomials are an important tool in the approximation of functions.


Cf. also Trigonometric series.

How to Cite This Entry:
Trigonometric polynomial. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article