# trigonometric polynomial

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## trigonometric polynomial

[¦trig·ə·nə¦me·trik ‚päl·i′nō·mē·əl]
(mathematics)
A finite series of functions of the form an cos nx + bn sin nx ; occasionally used synonymously with trigonometric series.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
3.2 Representation forms for a trigonometric polynomial
Let us consider the 2[pi]-periodic trigonometric polynomial operator (or summability operator)
Teslic, "Comparative analysis of error distribution for symmetric hysteresis loop curves approximation by means of cosine and trigonometric polynomial", presented at the 2nd Int.
For instance, Han presented the quadratic [6] and cubic [7] trigonometric polynomial curves with a shape parameter.
Since the smooth periodic function Fp can be approximated well by the partial sum of its Fourier series [5,7,10], from this inequality, we see that we have constructed a trigonometric polynomial [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] which can approximate to f on [OMEGA] very well.
Han, "Piecewise quadratic trigonometric polynomial curves," Mathematics of Computation, vol.
The subdivision scheme is called vector subdivision scheme if the corresponding subdivision symbol is a matrix of trigonometric polynomial. Note that the vector subdivision scheme plays an important role in multiwavelet and multichannel wavelets analysis; see [3-5] and references therein.
N]]) return(p) The Get_JN function finds the trigonometric polynomial of order N for the function f.
The symbol of the sequence [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] is the trigonometric polynomial
which is just the trigonometric polynomial in Weierstrass's first approximation theorem.

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