Results 251 to 260 of about 1,508,171 (301)

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
exaly   +4 more sources

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.
Ibrahim Büyükyazici, Ertan İbikli
exaly   +4 more sources

Generalized Taylor polynomials for axisymmetric plates and shells

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Faisal Mukhtar
exaly   +3 more sources

Series and Taylor Polynomials

2021
Lisa A Oberbroeckling
exaly   +2 more sources

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
openaire   +1 more source

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 ...
openaire   +3 more sources

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
openaire   +3 more sources

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 ...
openaire   +1 more source

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.
openaire   +2 more sources