Results 161 to 170 of about 126,693 (204)

SHARP: a hybrid metaheuristic approach for intelligent robotic path planning. [PDF]

Sci Rep
Fakhouri H, Alawadi S, Galozy A, Alkhabbas F, Ayyad M, Banihani I, Alkharabsheh K, Aladwan M.   +7 more
europepmc   +1 more source

Robust spatial phase prediction from paired intensities using multi-scale wavelets and aberration sensing network. [PDF]

Biomed Opt Express
Huang Y, Zhang H, He Y, Yang Z, Liu X.
europepmc   +1 more source

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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On a sequence of trigonometric polynomials

Mathematical Notes, 1997
The following theorem is proved. There exist an absolute constant \(A\) and a sequence of trigonometric polynomials \[ S_n(t):= \sum^n_{k=1} \delta_k(t),\quad n= 1,2,\dots, \] where the \[ \delta_k(t): \sum_{2^k\leq| j|< 2^{k+1}} c_je^{ijt} \] are such that \[ \pi/4\leq\| \delta_k\|_1,\quad \|\delta_k\|_\infty\leq 6,\quad k= 1,2,\dots, n, \] and ...
exaly   +2 more sources

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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Some extremal problems for trigonometric polynomials [PDF]

Journal of Mathematical Analysis and Applications, 2003
Three extremal problems for trigonometric polynomials are studied in this paper. The first was initiated by Maiorov. It relates to the trigonometric polynomials with n nonzero harmonics.
Belinsky, Eduard
exaly   +2 more sources

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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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 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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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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