Results 1 to 10 of about 32,895 (219)
The Trigonometric Polynomial Like Bernstein Polynomial [PDF]
A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Xuli Han
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Novel Hybrid Unequal-Sized WENO Scheme Employing Trigonometric Polynomials for Solving Hyperbolic Conservation Laws on Structured Grids [PDF]
This study presents a novel fifth-order unequal-sized trigonometric weighted essentially non-oscillatory (US-TWENO) scheme and a novel hybrid US-TWENO (HUS-TWENO) scheme with a novel troubled cell indicator in a finite difference framework to address ...
Yanmeng Wang, Liang Li, Jun Zhu
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FPGA-based implementation of chaotic oscillators by applying the numerical method based on trigonometric polynomials [PDF]
Chaotic systems are integrated via numerical methods but the main challenge is determining the correct time-step. For instance, traditional numerical methods like Forward Euler (FE) and 4th-order Runge-Kutta (RK), have been applied to simulate and to ...
A. D. Pano-Azucena +3 more
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Palindromic random trigonometric polynomials [PDF]
We show that if a real trigonometric polynomial has few real roots, then the trigonometric polynomial obtained by writing the coefficients in reverse order must have many real roots.
Conrey, J. Brian +2 more
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In this paper we study properties of images of a gaussian measure under trigonometric polynomials of a fixed degree, defined on finite-dimensional space with fixed number of dimensions. We prove that the images of the n-dimensional Gaussian measure under
G. I. Zelenov
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On the inequality of different metrics for trigonometric polynomials
The article is devoted to the research question of inequalities for different metrics with trigonometric polynomials. The structure of this exploring, its main components and types, as well as its classical approaches are presented in this article ...
G.A. Yessenbayeva +2 more
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Trigonometric polynomials and lattice points [PDF]
In this paper we study the distribution of lattice points on arcs of circles centered at the origin. We show that on such a circle of radius R R , an arc whose length is smaller than 2 R 1 / 2
Javier Cilleruelo, Antonio Córdoba
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On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]
The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva +3 more
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Let $A(\theta)$ non-constant and $B_j(\theta)$ for $j=0,1,2,3$ be real trigonometric polynomials of degree at most $\eta \ge 1$ in the variable x. Then the real equivariant trigonometric polynomial Abel differential equations $A(\theta) y' =B_1(\theta)
Claudia Valls
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Rational solutions and limit cycles of polynomial and trigonometric Abel equations
e study the Abel differential equation $x'=A(t)x^3+B(t)x^2+C(t)x$. Specifically, we find bounds on the number of its rational solutions when $A(t), B(t)$ and $C(t)$ are polynomials with real or complex coefficients; and on the number of rational limit ...
Luis Ángel Calderón
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