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Polynomials of Least Deviation from Zero in Sobolev p-Norm [PDF]

open access: yesBulletin 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
openaire   +7 more sources

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]

open access: yesUral 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
doaj   +3 more sources

Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials

open access: yesJournal 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
doaj   +7 more sources

Short-Arc Horizon-Based Optical Navigation by Total Least-Squares Estimation

open access: yesAerospace, 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
doaj   +1 more source

Interaction between decision-making and motor learning when selecting reach targets in the presence of bias and noise.

open access: yesPLoS 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
doaj   +1 more source

Consistencies of the capability indices based on the normal probability distribution [PDF]

open access: yesGestão & Produção, 2023
: Capability analysis seeks to estimate the probability that a process will produce compliant products. The capability indices are dimensionless parameters that measure how well the process can meet specifications.
Jaqueline Akemi Suzuki Sediyama   +3 more
doaj   +1 more source

Efficient Tuning-Free l1-Regression of Nonnegative Compressible Signals

open access: yesFrontiers in Applied Mathematics and Statistics, 2021
In compressed sensing the goal is to recover a signal from as few as possible noisy, linear measurements with the general assumption that the signal has only a few non-zero entries.
Hendrik Bernd Petersen   +3 more
doaj   +1 more source

A note on optimal Hermite interpolation in Sobolev spaces

open access: yesJournal of Inequalities and Applications, 2022
This paper investigates the optimal Hermite interpolation of Sobolev spaces W ∞ n [ a , b ] $W_{\infty }^{n}[a,b]$ , n ∈ N $n\in \mathbb{N}$ in space L ∞ [ a , b ] $L_{\infty }[a,b]$ and weighted spaces L p , ω [ a , b ] $L_{p,\omega }[a,b]$ , 1 ≤ p < ∞ $
Guiqiao Xu, Xiaochen Yu
doaj   +1 more source

Exponential sums deviating least from zero

open access: yesIndagationes Mathematicae (Proceedings), 1973
AbstractIn this paper exponential sums of the type Y1ew1x+Y2ew2x+…+Ynewnx where w1, w2 …, wn are pairwise distinct real numbers and Y1, Y2, …, Yn are polynomials in a real variable x of degree μ1, μ2, …, μn (non-negative integers) respectively are considered.
de Bruin, M.G, van Rossum, H
openaire   +2 more sources

Calculation of signal spectrum by means of stochastic inversion [PDF]

open access: yesAnnales Geophysicae, 2010
The standard method of calculating the spectrum of a digital signal is based on the Fourier transform, which gives the amplitude and phase spectra at a set of equidistant frequencies from signal samples taken at equal intervals.
T. Nygrén, Th. Ulich
doaj   +1 more source

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