Results 171 to 180 of about 2,105 (196)

Adaptive anti-synchronization of transcendental alternated system of Julia sets. [PDF]

Sci Rep
Ravikumar V, Konar P.
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Nonlinear vibration behavior of self-sustaining CNT nanobeams under thermo-magnetic fields: surface energy insights for advanced sports applications. [PDF]

Sci Rep
Hadj Lajimi R, Hajlaoui K, Mostafa L, Abdullah SI, Shaban M, Rajab H, Aich W, Khan R.   +7 more
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Biased Trigonometric Polynomials

The American Mathematical Monthly, 2007
(2007). Biased Trigonometric Polynomials. The American Mathematical Monthly: Vol. 114, No. 9, pp. 804-809.
Hugh L. Montgomery, Ulrike M. A. Vorhauer   +1 more
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Nonnegative Trigonometric Polynomials

Constructive Approximation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dimitrov, Dimitar K., Merlo, Clinton A.
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Universality and summability of trigonometric polynomials and trigonometric series

Periodica Mathematica Hungarica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luis Bernal-González, María Del Carmen Calderón-Moreno, Wolfgang Luh   +2 more
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On Conjugate Trigonometric Polynomials

American Journal of Mathematics, 1943
1. In a joint paper with A. C. Schaeffer1 we discussed the following question: Let D be a closed domaina in the complex z-plane and z0 a fixed pointt of D. Let its consider all polynomtials f(z) of givez degree n forwhich f Jf(z) ? 1 in D and f(z0) is real.
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On Factorization of Trigonometric Polynomials

Integral Equations and Operator Theory, 2004
In the present paper, using only ideas from elementary operator theory, a new proof of the operator version of the Fejer-Riesz theorem is given, and some of the ramifications of the ideas of the proof are studied. Starting with a sketch of some basic results on Schur complements and factorization, some simpler proofs are given.
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Polynomials and Trigonometric Polynomials

1976
Setting cos ϑ = x, the expressions $$ T_n \left( x \right) = \cos n\vartheta {\text{ }}U_n \left( x \right) = \frac{1} {{n + 1}}T'_{n + 1} \left( x \right) = \frac{{\sin \left( {n + 1} \right)\vartheta }} {{\sin \vartheta }}'{\text{ }}n = 0,1,2,...
George Pólya, Gabor Szegö
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Minima of Trigonometric Polynomials

Bulletin of the London Mathematical Society, 1998
Let \(00\) such that \[ -\min_{x\in (0,2\pi]} \sum^N_{k= 1} (\cos n_kx+ \sin n_kx)\geq c{N^{1/2}\over\log N}. \]
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On the trigonometric polynomials of Fejér and Young

Periodica Mathematica Hungarica, 2011
Let \[ S_{n}(x)=\sum_{k=1}^{n} \frac{\sin(kx)}{k} \;\;\text{and}\;\; C_{n}(x)=1+\sum_{k=1}^{n}\frac{\cos(kx)}{k} \] be the trigonometric sums of Fejér and Young, respectively. The authors prove the following result: For all natural numbers \(n\geq 2\) and real numbers \(x\in (0,\,\pi)\) one has \[ \frac{C_{n}(x)}{S_{n}(x)}\geq \frac{1}{9}\,\sqrt{15}\,.\
Horst Alzer, Qinghe Yin
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