Results 1 to 10 of about 308,417 (136)
Polynomials of Least Deviation from Zero in Sobolev p-Norm [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2022 AbstractThe first part of this paper complements previous results on characterization of polynomials of least deviation from zero in Sobolev p-norm ($$1<p<\infty $$ 1 < p < ∞ ) for the ...
Abel Díaz-González +2 more
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POLYNOMIALS LEAST DEVIATING FROM ZERO IN \(L^p(-1;1)\), \(0 \le p \le \infty \), WITH A CONSTRAINT ON THE LOCATION OF THEIR ROOTS [PDF]
Ural Mathematical Journal, 2023 We study Chebyshev's problem on polynomials that deviate least from zero with respect to \(L^p\)-means on the interval \([-1;1]\) with a constraint on the location of roots of polynomials.
Alena E. Rokina
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On Polynomials of Least Deviation from Zero in Several Variables [PDF]
Experimental Mathematics, 2004 14 pages, 1 ...
Yuan Xu
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Trigonometric polynomials of least deviation from zero in measure and related problems
Journal of Approximation Theory, 2010 Let \(\mathcal{F}_{n}\) be the set of trigonometric polynomials \[ f_{n}(t)=\frac{a_{0}}{2}+\sum_{k=1}^{n}(a_{k}\cos kt +b_{k}\sin k t) \] of order \(n\geq 0\) with real coefficients. On the set \(\mathcal{F}_{n}\) consider the functional \[ \mu(f_{n})=\text{mes}\{t\in \mathbb{T}\,:\,|f_{n}(t)|\geq 1\}, \] where \(\text{mes}\) stands for the Lebesgue ...
V V Arestov
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Least deviation of logarithmic derivatives of algebraic polynomials from zero
Journal of Approximation Theory, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petr Chunaev
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On multivariate polynomials of least deviation from zero on the unit ball
Mathematische Zeitschrift, 1977 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reimer Manfred
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On multivariate polynomials of least deviation from zero on the unit cube
Journal of Approximation Theory, 1978 AbstractIn the family of all r-variable real polynomials with total degree not exceeding μ and with maximum norm on the unit-cube not exceeding 1, any of the leading coefficients is maximum for a special product of one-variable Chebyshev polynomials of the first kind.
exaly +3 more sources
Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials
Journal of Numerical Analysis and Approximation Theory, 2019 E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
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Short-Arc Horizon-Based Optical Navigation by Total Least-Squares Estimation
Aerospace, 2023 Horizon-based optical navigation (OPNAV) is an attractive solution for deep space exploration missions, with strong autonomy and high accuracy. In some scenarios, especially those with large variations in spacecraft distance from celestial bodies, the ...
Huajian Deng +3 more
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PLoS Computational Biology, 2023 Motor errors can have both bias and noise components. Bias can be compensated for by adaptation and, in tasks in which the magnitude of noise varies across the environment, noise can be reduced by identifying and then acting in less noisy regions of the ...
Tianyao Zhu +3 more
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