Results 231 to 240 of about 100,866 (281)

Connection relations for q-Taylor polynomial bases

Advances in Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail, Mourad E. H., Simeonov, Plamen
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Explicit Multi-point Taylor Polynomial

2021
9 pages, no figures. Keywords: multi-point Taylor polynomial, multi-point polynomial interpolation, Hermite interpolation, Osculatory ...
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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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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.
İBİKLİ, ERTAN, Buyukyazici, Ibrahim, İZGİ, AYDIN   +2 more
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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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Taylor expansion of noncommutative polynomials

Archiv der Mathematik, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomial inequalities and universal Taylor series

Mathematische Zeitschrift, 2016
For a compact set \(K\) in the complex plane, let \(C(K)\) denote the space of continuous functions on \(K\) endowed with the uniform norm. A Taylor series \(\sum_{j \geq 0} a_j z^j\) of a function \(f\) holomorphic in the open unit disk is called universal if for all compact sets \(K\) outside the closed unit disk with connected complement the partial
Mouze, Augustin, Munnier, Vincent
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Generalized Taylor’s Formula for Polynomials

2002
In the ordinary calculus, a function, f(x) that possesses derivatives of all Orders is analytic at x = a if it can be expressed as a power series about x = a. Taylor’s theorem teils us the power series is $$ f(x) = \sum\limits_{n = 0}^\infty {f^{(n)} (a)} \frac{{(x - a)^n }} {{n!}}.
Victor Kac, Pokman Cheung
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q-Taylor’s Formula for Polynomials

2002
As has been shown in the previous chapter, P n (x) = (x − a) q n /[n]! satisfies the three requirements of Theorem 2.1 with respect to the linear Operator D q . Therefore, we now obtain the q-version of Taylor’s formula.
Victor Kac, Pokman Cheung
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