Results 41 to 50 of about 186,989 (178)

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations

Communications, 2010
In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
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The uniform approximation of polynomials by polynomials of lower degree [PDF]

, 1974
approximation, in a given interval,of a polynomial of degree in by a polynomial of degree n < m has been solved analytically in only two cases: (i) by Chebyshev, when m = n + 1, (ii) by Zolotarev, when m = n + 2.
Talbot, A
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Spectral method of electrical circuits accelerated simulation with thyristors

Elektrotehnìka ta Elektroenergetika, 2023
Purpose. The development of transient processes calculation method in electric circuits with thyristors based on the use of functions approximation by orthogonal polynomials. Methodology.
S.M. Tykhovod, T.YE. Dyvchuk, T.P. Solodovnikova, O.V. Sytik   +3 more
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Best L1-approximation by polynomials

Journal of Approximation Theory, 1983
Pour tout entier n≥0 et tout reel feL 1 (I), avec I=[1,1] soit E n (f) l'erreur de la meilleure approximation L 1 de f par des polynomes de degre non superieur a n. On considere des estimations superieures et inferieures de E n−1 (f) et son comportement asymptotique quand n→∞
Fiedler, H, Jurkat, W.B
openaire   +1 more source

Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations

Journal of New Theory, 2023
In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
doaj   +1 more source

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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Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials [PDF]

, 2011
We survey developments, over the last thirty years, in the theory of Shape Preserving Approximation (SPA) by algebraic polynomials on a finite interval.
Kopotun, K. A., Leviatan, D., Prymak, A., Shevchuk, I. A.   +3 more
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Best One Sided Multiplier Approximation of Unbounded Functions by Polynomials Operators

Al-Mustansiriyah Journal of Science, 2022
The purpose of this paper is present some operators by using polynomials operators of type G_n (f,x),g_n (f,x),L_n (f) and M_n (f),  to get the degree of best one- sided multiplier approximation of unbounded functions by algebraic  polynomials in L_(p ...
Raad Falih Hassan, Saheb K. AL-Saidy, Naseif J. AL-Jawari   +2 more
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Approximation by interpolating polynomials

Journal of Approximation Theory, 1978
AbstractThe problem of convergence of interpolating polynomials of the type ln(x,f)=a(n)02+∑k=1n(a(n)k cos kt + b(n)k sin kt) with the interpolating points tj(n) = 2πj(2n + 1) has been studied by A. Zygmund, who considered the partial sums of the interpolating polynomials In,v(x, f). On the other hand, R.
Holland, A.S.B, Kuttner, B, Sahney, B.N
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Spatiotemporal Orthogonal Polynomial Approximation for Partial Differential Equations [PDF]

, 2014
Starting with some fundamental concepts, in this article we present the essential aspects of spectral methods and their applications to the numerical solution of Partial Differential Equations (PDEs).
Bhowmik, Samir Kumar, Dhawan, Sharanjeet
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