منابع مشابه
Pad e-type approximants and errors of Pad e approximants
The Brezinski’s idea of using Pad e-type approximants to estimate errors of Pad e approximants is considerably developed. A new, more e ective method based on this idea is presented and illustrated by numerical examples. c © 1998 Elsevier Science B.V. All rights reserved. AMS classi cation: 41A21
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It is often the case that the exact moments of a statistic of the continuous type can be explicitly determined, while its density function either does not lend itself to numerical evaluation or proves to be mathematically intractable. The density approximants discussed in this article are based on the first n exact moments of the corresponding distributions. A unified semiparametric approach to...
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Bisimilarity ∼ and weak bisimilarity ≈ are canonical notions of equivalence between processes, which are defined co-inductively, but may be approached – and even reached – by their (transfinite) inductively-defined approximants ∼α and ≈α. For arbitrary processes this approximation may need to climb arbitrarily high through the infinite ordinals before stabilising. In this paper we consider a si...
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We present analytic estimates for the energy levels of N electrons (N = 2−5) in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the confinement plane. The relevant scaled energy is shown to be a smooth function of the parameter β=(effective Rydberg/effective dot energy)1/6. Two-point Pade approximants are obtained from the series expansions of the energy ...
متن کاملSelf-similar factor approximants.
The problem of reconstructing functions from their asymptotic expansions in powers of a small variable is addressed by deriving an improved type of approximants. The derivation is based on the self-similar approximation theory, which presents the passage from one approximant to another as the motion realized by a dynamical system with the property of group self-similarity. The derived approxima...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2016
ISSN: 0021-9045
DOI: 10.1016/j.jat.2016.07.002