Results 101 to 110 of about 518,009 (229)

From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits).
Alexander V. Turbiner
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Discrete Fourier analysis, Cubature and Interpolation on a Hexagon and a Triangle

, 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

Journal 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

On the Generalized $ \overline{\theta({\tt{t}})} $-Fibonacci sequences and its bifurcation analysis

AIMS Mathematics
This paper introduces a general nabla operator of order two that includes coefficients of various trigonometric functions. We also introduce its inverse, which leads us to derive the second-order $ \overline{\theta({\tt{t}})} $-Fibonacci polynomial ...
Rajiniganth Pandurangan, Sabri T. M. Thabet, Imed Kedim, Miguel Vivas-Cortez   +3 more
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Deterministic sampling of sparse trigonometric polynomials

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

Научный 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, V. M. Balick, E. V. Balick   +2 more
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Fast Decreasing Trigonometric Polynomials and Applications

Journal 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, O. V. Motorna, I. A. Shevchuk   +2 more
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Equivalence between various Shape Preserving Approximations of periodic functions

Researches 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 Some Trigonometrical Polynomials.

MATHEMATICA SCANDINAVICA, 1967
Izumi, Masako, Izumi, Shin-Ichi
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p-Adic trigonometric polynomials [PDF]

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