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 Encyclopedia of Keywords > Trigonometric Interpolation > Trigonometric Polynomial Michael Charnine

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### Periodic FunctionUpDw('PERIODIC_FUNCTION','-Abz-');

1. A trigonometric polynomial can be considered a periodic function on the real line, with period some multiple of 2π, or as a function on the unit circle. (Web site)

### Trigonometric InterpolationUpDw('TRIGONOMETRIC_INTERPOLATION','-Abz-');

1. For trigonometric interpolation, this function has to be a trigonometric polynomial, that is, a sum of sines and cosines of given periods.

### Trigonometric PolynomialUpDw('TRIGONOMETRIC_POLYNOMIAL','-Abz-');

1. A trigonometric polynomial of degree N has a maximum of N roots in any open interval [ a, a + 2π) with a in R.
2. For instance, rational interpolation is interpolation by rational function s, and trigonometric interpolation is interpolation by trigonometric polynomial s.
3. This can be seen as a form of polynomial interpolation with harmonic base functions, see trigonometric interpolation and trigonometric polynomial.

### CategoriesUpDw('Categories','-Abz-');

1. Trigonometric Interpolation
2. Periodic Function
3. Rational Function
4. Polynomial Interpolation
5. Interval
6. Books about "Trigonometric Polynomial" in Amazon.com  Short phrases about "Trigonometric Polynomial"   Originally created: March 20, 2008.   Links checked: July 20, 2013.   Please send us comments and questions by this Online Form   Please click on to move good phrases up.
0.0195 sec. a=1..