Results 91 to 100 of about 41,706 (192)

Discrete Fourier analysis, Cubature and Interpolation on a Hexagon and a Triangle

open access: yes, 2007
Several problems of trigonometric approximation on a hexagon and a triangle are studied using the discrete Fourier transform and orthogonal polynomials of two variables.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
core  

The Crest factor for trigonometric polynomials. Part I: Approximation theoretical estimates

open access: yesJournal of Numerical Analysis and Approximation Theory, 2001
The Chebyshev norm of a degree n trigonometric polynomial is estimated against a discrete maximum norm based on equidistant sampling points where, typically, oversampling rather than critical sampling is used. The bounds are derived from various methods
K. Jetter, G. Pfander, G. Zimmermann
doaj   +2 more sources

Deterministic sampling of sparse trigonometric polynomials

open access: yesJournal of Complexity, 2011
One can recover sparse multivariate trigonometric polynomials from few randomly taken samples with high probability (as shown by Kunis and Rauhut). We give a deterministic sampling of multivariate trigonometric polynomials inspired by Weil's exponential sum.
openaire   +3 more sources

Equivalence between various Shape Preserving Approximations of periodic functions

open access: yesResearches in Mathematics
We show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
doaj   +1 more source

On estimates of M-term approximations of the Sobolev class in the Lorentz space

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In the paper spaces of periodic functions of several variables were considered, namely the Lorentz space L2,τ(Tm), the class of functions with bounded mixed fractional derivative Wr2,τ, 1 ≤ τ < ∞, and the order of the best M-term approximation of a ...
Г. Акишев   +1 more
doaj   +1 more source

STATISTICAL SYNTHESIS OF FORECAST CHARACTERISTICS OF COMPLEX TECHNICAL SYSTEM BY TIME SERIES

open access: yesНаучный вестник МГТУ ГА, 2016
The article analyses the problem of building a medium-term forecast of the recovery trend in the average. We present a method of recovery trend in the form of a polynomial whose coefficients are determined by the inverse functions which are approximated ...
N. A. Severcev   +2 more
doaj  

Fast Decreasing Trigonometric Polynomials and Applications

open access: yesJournal of Fourier Analysis and Applications
AbstractWe construct trigonometric polynomials that fast decrease towards $$\pm \pi $$ ± π . We apply them to construct a trigonometric polynomial the derivative of which interpolates the derivative of a given $$2\pi $$ 2
D. Leviatan   +2 more
openaire   +2 more sources

On Some Trigonometrical Polynomials.

open access: yesMATHEMATICA SCANDINAVICA, 1967
Izumi, Masako, Izumi, Shin-Ichi
openaire   +2 more sources

On Algorithms for Planning S-curve Motion Profiles

open access: yesInternational Journal of Advanced Robotic Systems, 2008
Although numerous researches on s-curve motion profiles have been carried out, up to date, no systematic investigation on the general model of polynomial s-curve motion profiles is considered.
Kim Doang Nguyen   +2 more
doaj  

p-Adic trigonometric polynomials [PDF]

open access: yes, 1987
Contains fulltext : 42______.PDF (Publisher’s version ) (Open Access)
openaire  

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