Results 81 to 90 of about 541 (183)

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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Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes

Journal of Numerical Analysis and Approximation Theory, 2010
The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of ...
Lucian Coroianu, Sorin G. Gal
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Generalized Chebyshev Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2018
Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems

Journal of Applied Mathematics, 2014
A new class of spectral methods for solving two-point boundary value problems for linear ordinary differential equations is presented in the paper. Although these methods are based on trigonometric functions, they can be used for solving periodic as well
Bojan Orel, Andrej Perne
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Spectral algorithm for fractional BVPs via novel modified Chebyshev polynomials fractional derivatives

Mathematical Modelling and Analysis
This paper introduces a spectral algorithm tailored for solving fractional boundary value problems (BVPs) using the fractional derivatives of modified Chebyshev polynomials.
Mohamed Abdelhakem, Dina Abdelhamied, Mamdouh El-kady, Youssri Hassan Youssri   +3 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 Formulas of Bernoulli Polynomials of the Second Kind Using Several Approaches

Mathematics
This article presents several new analytical results for a modified class of Bernoulli polynomials, namely, the Bernoulli polynomials of the second kind (BPs2).
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Naher Mohammed A. Alsafri, Amr Kamel Amin   +3 more
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Discrete Entropies of Chebyshev Polynomials

Mathematics
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu, Sorina-Cezarina Sfetcu, Vasile Preda   +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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