Results 71 to 80 of about 527 (171)

Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

Iranian Journal of Numerical Analysis and Optimization, 2015
The aim of the present work is to introduce a method based on Chebyshev polynomials for the numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the approximate solution. Numerical results demonstrate effectiveness of the proposed method.
Ahdiaghdam, S., Shahmorad, S.
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Sobolev orthogonal polynomials, associated with the Chebyshev polynomials of the first kind [PDF]

Daghestan Electronic Mathematical Reports, 2015
Idris Sharapudinov, Magomedrasul Magomed-Kasumov, Salikh Magomedov   +2 more
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Automated knowledge based filter synthesis using modified Chebyshev polynomials of the first kind

Facta universitatis - series: Electronics and Energetics, 2012
The paper presents the automated design of active RC and programmable filters. The approximating function is derived using Chebyshev orthogonal polynomials of the first kind. Optimization is performed using symbolic manipulation of expressions inputted into computer algebra system.
Vlastimir Pavlovic, Miroslav Lutovac, Maja Lutovac   +2 more
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Summed Series Involving ₁F₂ Hypergeometric Functions

Mathematics
Summation of infinite series has played a significant role in a broad range of problems in the physical sciences and is of interest in a purely mathematical context.
Jack C. Straton
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A Type of Interpolation between Those of Lagrange and Hermite That Uses Nodal Systems Satisfying Some Separation Properties

Mathematics
In this paper, we study a method of polynomial interpolation that lies in-between Lagrange and Hermite methods. The novelty is that we use very general nodal systems on the unit circle as well as on the bounded interval only characterized by a separation
Elías Berriochoa, Alicia Cachafeiro, Héctor García Rábade, José Manuel García-Amor   +3 more
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An inequality for polynomials with elliptic majorant

Journal of Inequalities and Applications, 1999
Let be the transformed Chebyshev polynomial of the first kind, where . We show here that has the greatest uniform norm in of its -th derivative among all algebraic polynomials of degree not exceeding , which vanish at and satisfy the inequality ...
Nikolov Geno
doaj  

Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2015
Abstract: The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport equation to determine the diffusion coefficients of one-speed neutrons for selected values of the ...
EGE, Ökkeş, ÖZTÜRK, Hakan, BÜLBÜL, Ahmet   +2 more
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On the accuracy and stability of algorithms most commonly used in the evaluation of Chebyshev polynomials of the first kind

, 2013
This paper provides error analyses of the algorithms most commonly used for the evaluation of the Chebyshev polynomial of the first kind $T_N(x)$. Some of these algorithms are shown to be backward stable. This means that the computed value of $T_N(x)$ in floating point arithmetic by these algorithms can be interpreted as a slightly perturbed value of ...
Smoktunowicz, Alicja, Smoktunowicz, Agata, Pawelec, Ewa   +2 more
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New formulae for Chebyshev polynomials of the first and second kind

, 2017
There are many interesting properties of these polynomials [1]. Using Trudi’s formula [2] for determinants and permanents of the Toeplitz – Hessenberg matrices of special kind, we obtain the new formulae.
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