Results 21 to 30 of about 24,811,169 (263)
$BKW$-Operators for Chebyshev Systems
Tokyo Journal of Mathematics, 1999 Let \(I=[0,1]\subset\mathbb{R}\) be the closed unit interval and let \(C(I,\mathbb{R})\) be the Banach space of all real valued continuous functions on \(I\). For \(f\in C(I,\mathbb{R})\) let \(\|f\|_0= \sup\{|f(t) |:t\in I\}\). A bounded linear operator \(T\) on \(C(I,\mathbb{R})\) is called a BKW-operator for the Chebyshev system \(S_k=\{1,t,\dots,t ...
ISHII, Takashi, IZUCHI, Keiji
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An effective spectral collocation method for the direct solution of high-order ODEs [PDF]
, 2006 This paper reports a new Chebyshev spectral collocation method for directly solving high-order ordinary differential equations (ODEs). The construction of the Chebyshev approximations is based on integration rather than conventional differentiation. This
Mai-Duy, Nam
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Journal of Function Spaces, 2022 The main goal of this paper is to develop a new formula of the fractional derivatives of the shifted Chebyshev polynomials of the third kind. This new formula expresses approximately the fractional derivatives of these polynomials in the Caputo sense in ...
Youssri Hassan Youssri +2 more
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An efficient scheme for numerical simulations of the spin-bath decoherence [PDF]
, 2003 We demonstrate that the Chebyshev expansion method is a very efficient numerical tool for studying spin-bath decoherence of quantum systems. We consider two typical problems arising in studying decoherence of quantum systems consisting of few coupled ...
A. J. Leggett +26 more
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
Fejer means of rational Fourier – Chebyshev series and approximation of function |x|s
Журнал Белорусского государственного университета: Математика, информатика, 2019 Approximation properties of Fejer means of Fourier series by Chebyshev – Markov system of algebraic fractions and approximation by Fejer means of function |x|s, 0 < s < 2, on the interval [−1,1], are studied.
Pavel G. Patseika, Yauheni A. Rouba
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Approximate Hermite-Hadamard type inequalities for approximately convex functions [PDF]
, 2012 In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev ...
Makó, Judit, Páles, Zsolt
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On extended Chebyshev systems with positive accuracy
Journal of Mathematical Analysis and Applications, 2017 Agraïments: The first author is supported by a FAPESP-BRAZIL grant 2013/16492-0. The second author is supported by UNAB13-4E-1604 grant. A classical necessary condition for an ordered set of n+1 functions F to be an ECT-system in a closed interval is that all the Wronskians do not vanish.
Douglas D. Novaes, Joan Torregrosa
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Advances in Differential Equations, 2021 In this work, a numerical technique for solving general nonlinear ordinary differential equations (ODEs) with variable coefficients and given conditions is introduced.
Mohamed A. Abd El salam +4 more
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Adjoining a Constant Function to n-Dimensional Chebyshev Space
Journal of Function Spaces, 2016 This paper is concerned with extending a Chebyshev system of n continuous nonconstant functions into a set of n+1 functions including a constant function. Necessary and sufficient conditions for the new set to be a Chebyshev system are discussed and some
Mansour Alyazidi-Asiry
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