Results 261 to 270 of about 4,345 (299)

Taylor Polynomials and Taylor Series

2015
Taylor polynomials are used to approximate values of functions at specified points. The error incurred is investigated by means of Taylor’s theorem. A method for ensuring that the approximation is accurate to within a specified error tolerance is illustrated. Taylor polynomials are then used to define Taylor series. Several techniques for finding these
Charles H. C. Little, Kee L. Teo, Bruce van Brunt   +2 more
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A matrix method for solving high-order linear difference equations with mixed argument using hybrid legendre and taylor polynomials

Journal of the Franklin Institute, 2006
TANAY, BEKIR/0000-0003-4066-2044WOS: 000242741500007A numerical method for solving the higher order linear difference equations with variable coefficients and mixed argument under the mixed conditions is presented.
Mustafa Gülsu, Mehmet Sezer, Bekir Tanay   +2 more
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Connection relations for q-Taylor polynomial bases

Advances in Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mourad E. H. Ismail, Plamen Simeonov
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m-approximate Taylor polynomial

manuscripta mathematica, 2019
In \(\mathbb{R}^n\) a notion of \(m\)-density for \(m\in [n, \infty)\) is a generalization of density. Analogous as approximate continuity (differentiability) one can define \(m\)-approximate continuity (differentiability) at a point. It is proved that if \(1\leq p< \infty\) and \(f\colon \mathbb{R}^n \to \mathbb{R}\) is \(L^p\) differentiable at \(x ...
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Taylor’s polynomial and infinitesimals

Resonance, 2014
Taylor’s theorem in analysis provides a way of approximating an n+1-times differentiable real function by an nth degree polynomial in a neighbourhood of a point x 0. The usefulness of the theorem lies in the fact that if the bounds on |f (n+1)(x)| are known, then the error introduced by the polynomial approximation can ...
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Local Polynomial Derivative Estimation: Analytic or Taylor? [PDF]

, 2016
Abstract Local polynomial regression is extremely popular in applied settings. Recent developments in shape-constrained nonparametric regression allow practitioners to impose constraints on local polynomial estimators thereby ensuring that the resulting estimates are consistent with underlying theory.
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The zero attractor of perturbed Chebyshev polynomials and sums of Taylor polynomials

2021
Defining s_n(z) to be the nth degree Taylor polynomial at 0 for the exponential function, we employ methods from complex analysis to study the limiting behavior of the zero distribution of polynomials in the sequence As_[an]([alpha]nz) + Bs_[bn]([beta]nz) as n [right arrow] [infinity].
Joseph Erickson, Robert Paul Boyer
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Polynomial Invariant Theory and Taylor Series

Canadian Journal of Mathematics, 1991
For any group K and finite-dimensional (right) K-module V let be the right regular representation of K on the algebra of polynomial functions on V. An Isotypic Component of is the sum of all k-submodules of on which π restricts to an irreducible representation can then be written as f = ΣƬ ƒƬ with ƒƬ in .
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Computation and Application of Taylor Polynomials with Interval Remainder Bounds

Reliable Computing, 1998
So-called Taylor models are used to determine guaranteed bounds of function values of multivalued and preferably complicated functions which are expansive to evaluate. A Taylor model of a function \(f\) consists of a Taylor polynomial of some convenient degree and an absolute error term in form of an interval. In order to determine the required bounds,
Martin Berz, Georg Hoffstätter
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Taylor expansion of noncommutative polynomials

Archiv der Mathematik, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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