Results 161 to 170 of about 546 (189)

Expansion of functions in a Fourier-Chebyshev series by shifted Chebyshev polynomials of the first kind

Journal of Mathematical Sciences, 1994
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Kozhukhovskiĭ, A. D., Litvin, A. I.
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Orthogonal rational functions arising from the Chebyshev polynomials of first and second kind

Journal of Mathematical Analysis and Applications, 2023
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James Griffin, Sara Mahmoud
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Precise integration methods based on the Chebyshev polynomial of the first kind

Earthquake Engineering and Engineering Vibration, 2008
This paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first kind for dynamic response analysis of structures, namely the integral formula method (IFM) and the homogenized initial system method (HISM).
Wang, M, Au, FTK
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System matrix compression using Chebyshev polynomials of first and second kind

2022
A common procedure for the reconstruction in Lissajous-type magnetic particle imaging is solving a linear system of equations which is based on the measurement of the so-called system matrix and the induced voltage signal of the unknown magnetic particle distribution.
Droigk, Christine, Maass, Marco, Mertins, Alfred   +2 more
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Some algorithms for computing Chebyshev normalized first-kind polynomials by roots

Russian Journal of Numerical Analysis and Mathematical Modelling, 2005
Summary: When numerically implementing the optimal binomial \(N\)-cycle Chebyshev iterative methods for solving the linear operator equations \(Au=f\), the iterative sequence of approximations \(u^k\), \(k=1,\dots,N\), arises. In this case a transition operator is successively multiplied by operator factors of the form \(I-\alpha_kA,k\leq N\), where ...
Lebedev, V. I., Finogenov, S. A.
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Resultants of Chebyshev Polynomials: the First, Second, Third, and Fourth Kinds

Canadian Mathematical Bulletin, 2015
AbstractWe give an explicit formula for the resultant ofChebyshev polynomials of the ûrst, second, third, and fourth kinds. We also compute the resultant of modiûed cyclotomic polynomials.
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Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind

International Journal of Computer Mathematics, 2012
This paper presents a Chebyshev series method for the numerical solutions of system of the first kind Cauchy type singular integral equation SIE. The Chebyshev polynomials of the second kind with the corresponding weight function have been used to approximate the density functions.
Ilkem Turhan, Hüseyin Oguz, Elçin Yusufoglu   +2 more
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An alternative representation of the Viète's formula for pi by Chebyshev polynomials of the first kind

2016
There are several reformulations of the Viète's formula for pi that have been reported in the modern literature. In this paper we show another analog to the Viète's formula for pi by Chebyshev polynomials of the first kind.
Abrarov, S. M., Quine, B. M.
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Solution of the system of Cauchy-type singular integral equations of the first kind by third- and fourth- kind Chebyshev polynomials

AIP Conference Proceedings, 2015
In this study, the solutionsof system of the first kind Cauchy type singular integral equation are presented for bounded at the left limit point x = −1 and unbounded at the right limit point. Numerical solutions are presented for mentioned case by transforming first kind of singular integral equations to the system of linear equation using Chebyshev ...
Duru, Hatice Kubra, Yusufoglu, Elin
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1D and 2D economical FIR filters generated by Chebyshev polynomials of the first kind

International Journal of Electronics, 2013
Christoffel–Darboux formula for Chebyshev continual orthogonal polynomials of the first kind is proposed to find a mathematical solution of approximation problem of a one-dimensional (1D) filter function in the z domain. Such an approach allows for the generation of a linear phase selective 1D low-pass digital finite impulse response (FIR) filter ...
Vlastimir Dragoljub Pavlović, Nebojša Stanojko Dončov, Dejan Gradimir Ćirić   +2 more
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