Results 251 to 260 of about 1,664,685 (304)

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 ...
exaly   +2 more sources

Taylor polynomial solutions of linear differential equations

Applied Mathematics and Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

Approximation by Chlodowsky–Taylor polynomials

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sevilay Kirci Serenbay, Ertan Ibikli
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Rate of convergence by Chlodowsky–Taylor polynomials

Applied Mathematics and Computation, 2009
The Chlodowsky polynomials generalize the classical Bernstein polynomials and are useful in approximation on unbounded intervals. The authors introduce a combination of Chlodowsky and Taylor polynomials and investigate the rate of convergence of the resulting operators.
Aydin Izgi, Ibrahim Büyükyazici, Ertan Ibikli   +2 more
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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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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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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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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
openaire   +1 more source

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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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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