Results 151 to 160 of about 541 (183)

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
openaire   +1 more source

Analysis of time-delay systems via shifted Chebyshev polynomials of the first and second kinds

International Journal of Systems Science, 1988
A novel and general approach for obtaining the delay operational matrix of shifted Chebyshev polynomials of first or second kind is presented. This operational matrix is exact in the sense that it does not involve any approximation. Next, this paper shows the application of the delay operational matrix in the analysis of time-delay systems.
B. M. MOHAN, K. B. DATTA
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Sobolev Orthogonal Polynomials Associated with Chebyshev Polynomials of the First Kind and the Cauchy Problem for Ordinary Differential Equations

Differential Equations, 2018
This paper deals with polynomials $T_{r,n}(x)$ generated by Chebyshev polynomials $T_n(x)$ and forming a Sobolev orthonormal system with an inner product. The paper establishes that the Fourier sums of the mentioned polynomials give an efficient tool for solving the Cauchy problem for ordinary differential equations approximately.
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Chebyshev Polynomials of the First Kind for Solving a Novel Fractional Inverse Problems

This research investigates an inverse problem related to a fractional partial differential equation of order α ∈(0 , 2]. This equation is connected to a differential equation defined by Chebyshev polynomials of the first kind.
Mohammed Elamine Beroudj, Abdelaziz Mennouni   +1 more
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Polynomials Associated with Chebyshev Polynomials of the First Kind

The Fibonacci Quarterly, 1977
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Chebyshev Polynomials of the First Kind

2015
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Chebyshev Polynomials of the First Kind and Applications in Tomography

Nicholas E. Protonotarios, Vangelis Marinakis, Nikolaos Dikaios, George A. Kastis   +3 more
openaire   +1 more source