Results 101 to 110 of about 4,491 (232)

Tensor Diagrams and Chebyshev Polynomials [PDF]

open access: yesInternational Mathematics Research Notices, 2018
Abstract In this paper, we describe a class of elements in the ring of $\textrm{SL}(V)$-invariant polynomial functions on the space of configurations of vectors and linear forms of a 3D vector space $V.$ These elements are related to one another by an induction formula using Chebyshev polynomials. We also investigate the relation between
openaire   +3 more sources

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
doaj   +1 more source

Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials

open access: yesMathematics, 2018
In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of
Taekyun Kim   +3 more
doaj   +1 more source

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

open access: yesOpen Mathematics, 2017
Abstract A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
openaire   +4 more sources

Chebyshev Polynomials on a System of Continua [PDF]

open access: yesConstructive Approximation, 2015
The estimates of the uniform norm of the Chebyshev polynomial associated with a compact set $K$ consisting of a finite number of continua in the complex plane are established. These estimates are exact (up to a constant factor) in the case where the components of $K$ are either quasismooth (in the sense of Lavrentiev) arcs or closed Jordan domains ...
openaire   +3 more sources

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