Results 111 to 120 of about 4,491 (232)

An extremal property for Chebyshev polynomials

Journal of Approximation Theory, 1992
Among the class of \(n\)th degree polynomials in the unit leading coefficient, Chebyshev polynomials possess the least deviation from zero on the interval \([-1,1]\) with certain norms. This result is carefully generalized here. The main conclusions are presented in the form of three theorems and three corollaries.
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Chebyshev Polynomial and Other New Approximations to Mills' Ratio [PDF]

, 1963
W. D. Ray, A. E. N. T. Pitman
openalex   +1 more source

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

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2015
: 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 ...
Ökkeş EGE, Hakan ÖZTÜRK, Ahmet BÜLBÜL   +2 more
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On Fractional Orthonormal Polynomials of a Discrete Variable

Discrete Dynamics in Nature and Society, 2015
A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.
I. Area, J. D. Djida, J. Losada, Juan J. Nieto   +3 more
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Evaluation of the Incomplete Gamma Function of Imaginary Argument by Chebyshev Polynomials [PDF]

, 1961
Richard R. Barakat
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Expansion of Spherical Bessel Functions in a Series of Chebyshev Polynomials [PDF]

, 1961
A. M. Arthurs, R. McCarroll
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Adopted spectral tau approach for the time-fractional diffusion equation via seventh-kind Chebyshev polynomials

Boundary Value Problems
This study utilizes a spectral tau method to acquire an accurate numerical solution of the time-fractional diffusion equation. The central point of this approach is to use double basis functions in terms of certain Chebyshev polynomials, namely Chebyshev
W. M. Abd-Elhameed, Y. H. Youssri, A. G. Atta   +2 more
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An Improved Multi-Chaotic Public Key Algorithm Based on Chebyshev Polynomials

Algorithms
Due to the similar characteristics of chaotic systems and cryptography, public key encryption algorithms based on chaotic systems are worth in-depth research and have high value for the future.
Chunfu Zhang, Jing Bai, Yanchun Liang, Adriano Tavares, Lidong Wang, Tiago Gomes, Sandro Pinto   +6 more
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Twist and generalized Chebyshev polynomials

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1997
In the article [\textit{F. Hazama}, Indag. Math., New Ser. 8, 387-397 (1997; Zbl 0894.11008)], the author investigated a possible generalization of the Chebyshev polynomials, \(T_n(x)\), \(U_n(x)\) \((n=0,1,\dots)\), focusing on the diophantine equation satisfied by them: \[ T_n(x)^2- (x^2-1) U_{n-1}(x)^2= 1,\quad n= 1,2,\dots\;. \] The crucial idea of
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A Chebyshev polynomial method for computing analytic solutions to eigenvalue problems with application to the anharmonic oscillator [PDF]

, 1978
John P. Boyd
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