Trigonometric polynomial
From Encyclopedia of Mathematics
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:
 |
where
 |
Trigonometric polynomials are an important tool in the approximation of functions.
Comments
Cf. also Trigonometric series.
How to Cite This Entry:
Trigonometric polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Trigonometric_polynomial&oldid=49036
Trigonometric polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Trigonometric_polynomial&oldid=49036
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article