Results 161 to 170 of about 1,239,411 (205)
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arXiv.org
High-order methods for convex and nonconvex optimization, particularly $p$th-order Adaptive Regularization Methods (AR$p$), have attracted significant research interest by naturally incorporating high-order Taylor models into adaptive regularization ...
Wenqi Zhu, C. Cartis
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High-order methods for convex and nonconvex optimization, particularly $p$th-order Adaptive Regularization Methods (AR$p$), have attracted significant research interest by naturally incorporating high-order Taylor models into adaptive regularization ...
Wenqi Zhu, C. Cartis
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m-approximate Taylor polynomial
manuscripta mathematica, 2019In \(\mathbb{R}^n\) 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, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail, Mourad E. H., Simeonov, Plamen
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Explicit Multi-point Taylor Polynomial
20219 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, 2014Taylor’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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Analysis and Applications, 2019
In this paper, we introduce a generalization of the [Formula: see text]-Taylor expansion theorems. We expand a function in a neighborhood of two points instead of one in three different theorems.
M. Ismail, Z. Mansour
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In this paper, we introduce a generalization of the [Formula: see text]-Taylor expansion theorems. We expand a function in a neighborhood of two points instead of one in three different theorems.
M. Ismail, Z. Mansour
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Maximum A Posteriori Estimation of Hamiltonian Systems with High Order Taylor Polynomials
The Journal of the astronautical sciences, 2022Simone Servadio, R. Zanetti, R. Armellin
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Polynomial Invariant Theory and Taylor Series
Canadian Journal of Mathematics, 1991For 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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