Results 91 to 100 of about 41,706 (192)
Discrete Fourier analysis, Cubature and Interpolation on a Hexagon and a Triangle
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
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The Crest factor for trigonometric polynomials. Part I: Approximation theoretical estimates
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
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Deterministic sampling of sparse trigonometric polynomials
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.
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Equivalence between various Shape Preserving Approximations of periodic functions
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
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On estimates of M-term approximations of the Sobolev class in the Lorentz space
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
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STATISTICAL SYNTHESIS OF FORECAST CHARACTERISTICS OF COMPLEX TECHNICAL SYSTEM BY TIME SERIES
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
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Fast Decreasing Trigonometric Polynomials 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
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On Some Trigonometrical Polynomials.
Izumi, Masako, Izumi, Shin-Ichi
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On Algorithms for Planning S-curve Motion Profiles
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
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p-Adic trigonometric polynomials [PDF]
Contains fulltext : 42______.PDF (Publisher’s version ) (Open Access)
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