Results 161 to 170 of about 41,706 (192)

Polynomials, Rational Functions and Trigonometric Polynomials

2004
In this chapter we want to illustrate the relevance of complex numbers in some elementary situations. After a brief discussion of the algebra of polynomials in Section 5.1, we prove the fundamental theorem of algebra and discuss solutions by radicals of algebraic equations in Section 5.2.
Mariano Giaquinta, Giuseppe Modica
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Lacunary Interpolation by Antiperiodic Trigonometric Polynomials

BIT Numerical Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Delvos, Franz-Jürgen, Knoche, Ludger
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Positivity of trigonometric polynomials

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
The paper introduces a modification of the well-known sum-of-squares relaxation scheme for semi-algebraic programming by Shor based on replacing the ordinary polynomials by their trigonometric counterparts. It is shown that the new scheme has certain theoretical advantages over the classical one: in particular, a trigonometric polynomial is positive if
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Inequalities for trigonometric polynomials

Approximation Theory and its Applications, 1997
Summary: Let \(t_n(x)\) be any real trigonometric polynomial of degree \(n\) such that \(\| t_n\|_\infty\leq 1\). Here, we are concerned with obtaining the best possible upper estimate of \[ \int^{2\pi}_0 | t^{(k)}_n(x)|^q dx\Biggl/\int^{2\pi}_0| t^{(k)}_n(x)|^{q- 2}dx, \] where \(q>2\).
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Two external problems for trigonometric polynomials

Sbornik: Mathematics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bounds for Trigonometric Polynomials

1976
Two methods for finding the maximum and minimum of a given trigonometric polynomial are described and studied. They are then applied to randomly generated polynomials. The resulting data suggest that one of the methods is superior to the other.
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Exploiting Symmetries in the Design and Implementation of Polynomial/Trigonometric Beamformers for Uniform Circular Arrays

IEEE Transactions on Circuits and Systems I: Regular Papers, 2023
Zhan Zhang, Huawei Chen, Congwei Feng
exaly  

Trigonometric Polynomials

2018
Dinh Dũng, Vladimir Temlyakov, Tino Ullrich   +2 more
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Least Squares Trigonometric Polynomials

2014
Trigonometric polynomials, being linear in their parameters, come close to perfectly reproduce arbitrarily curved functions.
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Modelling of the refraction in trigonometric levelling using polynomial transition curves

Measurement: Journal of the International Measurement Confederation, 2021
Andrzej Kobryń
exaly