Trigonometric polynomial
From Encyclopedia of Mathematics
Revision as of 14:53, 7 June 2020 by Ulf Rehmann (talk | contribs) (Undo revision 49036 by Ulf Rehmann (talk))
finite trigonometric sum
An expression of the form
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with real coefficients ,
; the number
is called the order of the trigonometric polynomial (provided
). A trigonometric polynomial can be written in complex form:
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where
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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