Results 1 to 10 of about 32,895 (219)

The Trigonometric Polynomial Like Bernstein Polynomial [PDF]

open access: yesThe Scientific World Journal, 2014
A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Xuli Han
doaj   +3 more sources

Novel Hybrid Unequal-Sized WENO Scheme Employing Trigonometric Polynomials for Solving Hyperbolic Conservation Laws on Structured Grids [PDF]

open access: goldMathematics
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
doaj   +2 more sources

FPGA-based implementation of chaotic oscillators by applying the numerical method based on trigonometric polynomials [PDF]

open access: goldAIP Advances, 2018
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
doaj   +2 more sources

Palindromic random trigonometric polynomials [PDF]

open access: yesProceedings of the American Mathematical Society, 2008
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
core   +3 more sources

Fractional Smoothness of Distributions of Trigonometric Polynomials on a Space with a Gaussian Measure

open access: diamondИзвестия Иркутского государственного университета: Серия "Математика", 2020
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
doaj   +2 more sources

On the inequality of different metrics for trigonometric polynomials

open access: diamondҚарағанды университетінің хабаршысы. Математика сериясы, 2019
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
doaj   +2 more sources

Trigonometric polynomials and lattice points [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1992
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
openalex   +3 more sources

On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
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
doaj   +3 more sources

Trigonometric polynomial solutions of equivariant trigonometric polynomial Abel differential equations

open access: yesElectronic Journal of Differential Equations, 2017
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
doaj   +2 more sources

Rational solutions and limit cycles of polynomial and trigonometric Abel equations

open access: diamondElectronic Journal of Qualitative Theory of Differential 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
doaj   +2 more sources

Home - About - Disclaimer - Privacy