Fast algorithm and new potential formula represented by Chebyshev polynomials for an [Formula: see text] globe network. [PDF]
Sci Rep, 2022 Zhou Y, Zheng Y, Jiang X, Jiang Z.
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Chebyshev Polynomials on Compact Sets [PDF]
Potential Analysis, 2013 The author proves that if a compact set \(K\) in the complex plane contains a smooth Jordan curve on its outer boundary, then the minimal norm of the \(n\)-th Chebyshev polynomial \(T_n\) on \(K\) satisfies \(\|T_n\|_K\geq (1+\beta)\mathrm{cap}(K)^n\), for some \(\beta>0\) where \(\mathrm{cap}(K)\) is the logarithmic capacity of \(K\).
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Systematic literature review of the performance characteristics of Chebyshev polynomials in machine learning applications for economic forecasting in low-income communities in sub-Saharan Africa. [PDF]
SN Bus Econ, 2022 Cordes D, Latifi S, Morrison GM.
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Some Identities Involving Chebyshev Polynomials [PDF]
Mathematical Problems in Engineering, 2015 The main purpose of this paper is using the combinatorial method and algebraic manipulations to study some sums of powers of Chebyshev polynomials and give several interesting identities. As some applications of these results, we obtained several divisibility properties involving Chebyshev polynomials.
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Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations. [PDF]
Adv Differ Equ, 2021 Jafari H, Nemati S, Ganji RM.
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Chebyshev polynomials are not always optimal [PDF]
The problem is that of finding among all polynomials of degree at most n and normalized to be 1 at c the one with minimal uniform norm on Epsilon. Here, Epsilon is a given ellipse with both foci on the real axis and c is a given real point not contained ...
Fischer, Bernd, Freund, Roland
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Prediction of compliant wall drag reduction, part 1 [PDF]
Computer codes developed to test Bushnell's compliant wall drag reduction model are discussed. One code computes the evolution of mean velocity profiles during the period between bursts as forced by an imposed large-scale pressure pulse due to earlier ...
Orszag, S. A.
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On the coefficients of differentiated expansions of ultraspherical polynomials [PDF]
A formula expressing the coefficients of an expression of ultraspherical polynomials which has been differentiated an arbitrary number of times in terms of the coefficients of the original expansion is proved.
Karageorghis, Andreas +1 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 +3 more
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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 +2 more
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