Results 31 to 40 of about 79,817 (224)
Symmetrized Chebyshev polynomials [PDF]
Proceedings of the American Mathematical Society, 2004 We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that T
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Trivariate polynomial approximation on Lissajous curves [PDF]
, 2015 We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len +2 more
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Extension of the Chebyshev Method of Quassi-Linear Parabolic P.D.E.S With Mixed Boundary Conditions
مجلة بغداد للعلوم, 2009 The researcher [1-10] proposed a method for computing the numerical solution to quasi-linear parabolic p.d.e.s using a Chebyshev method. The purpose of this paper is to extend the method to problems with mixed boundary conditions.
Baghdad Science Journal
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Converse Sturm-Hurwitz-Kellogg theorem and related results [PDF]
, 2007 The classical Sturm-Hurwitz-Kellogg theorem asserts that a function, orthogonal to an n-dimensional Chebyshev system on a circle, has at least n+1 sign changes.
Tabachnikov, S.
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Generalized Chebyshev polynomials of the second kind
, 2015 We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis.
AlQudah, Mohammad A.
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Generalized Chebyshev polynomials
Discussiones Mathematicae - General Algebra and Applications, 2018 Summary: 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 \(T_n\) and \(U_n\). We show that they are in a \(\mathbb{Q}\)-vectorial subspace \(E_n(x)\) of \(\mathbb{Q}[x]\) of dimension \(n\). We establish that the polynomial sequences \((h^kT_{n-
Abchiche Mourad, Belbachir Hacéne
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A Spectral Method for Two-Dimensional Ocean Acoustic Propagation
Journal of Marine Science and Engineering, 2021 The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve ...
Xian Ma +5 more
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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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Cotas superiores para o número de zeros de uma combinação linear de funções via Teoria de Chebyshev
CQD Revista Eletrônica Paulista de Matemática, 2022 O objetivo deste trabalho é apresentar a Teoria de Sistemas de Chebyshev clássica e com acurácia. Para isto, reunimos os principais resultados e caracterizamos cada classe de sistemas de Chebyshev a partir do número máximo de zeros de uma combinação ...
Vitor Henrique Lopes Gusson +1 more
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Journal of Numerical Analysis and Approximation Theory, 2001 The Chebyshev approximation problem is usually described as to find the polynomial (or the element of an Haar subspace) which uniformly best approximates a given continuous function. Most of the theoretical results forming the basis of this theory have not been explored by members of the St Petersburg Mathematical School, founded by P. L.
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