Results 231 to 240 of about 16,473 (262)

On approximation of integrals of analytic functions

1993
The authors obtain a five points numerical rule to approximate an integral of analytic functions in a disk along a real segment contained in this disk. The five points in question are verticies and the centre of a rhombus. This rule generalizes the rules which use vertices and the centre of squares contained in the disk of analyticity and allows to ...
Acharya, B. P., Mohapatra, T.
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Degree of approximation of analytic functions by “near the best” polynomial approximants

Constructive Approximation, 1993
Let \(K\) be a compact subset of the complex plane \(\mathbb{C}\) such that \(\mathbb{C} - K\) is connected. Given a function \(f \in A (K)\), let \(E_n (f) : = \inf \{|f - p_n |_K; \deg p_n \leq n\}\) be the error of the best uniform approximation to \(f\) by polynomials of degree at most \(n\). Following \textit{E. B. Saff} and \textit{V.
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Analytical approximation of preisach distribution functions

IEEE Transactions on Magnetics, 2003
A method is proposed for analytical approximation of the Preisach distribution function. The Preisach functions of several materials are determined from measured Everett integrals and the features of parameter determination by mean square error minimization over the major or a symmetrical minor loop investigated.
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Parametric approximation of piecewise analytic functions

Mathematical Notes of the Academy of Sciences of the USSR, 1990
The paper concerns error estimation for parametric approximation of piecewise analytic functions. The author proves for the best parametric approximation of order n the estimate \(\epsilon_ n(f)=O(e^{-c.n/\ln n})\) where c is a constant. This result is an improvement on the result of \textit{G. L. Iliev} [PLISKA, Stud. Math. Bulg.
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Sharp constants for rational approximations of analytic functions

Sbornik: Mathematics, 2002
Let \(\widehat{\rho}_n(z)\) be defined as \(\widehat{\rho_n}(z):=(1/2\pi i)\int_F \rho_n(t)(t-z)^{-1}\,dt\), where \(\rho_n\in H(\Omega)\), \(n \in \mathbb{N}\), and \(F\) is a rectifiable Jordan arc in \(\Omega\). Let \(d_n=d_E( \widehat {\rho}_n,\mathcal{R}_n)\), where \(\mathcal{R}_n\) is the set of rational functions of order \(n\), and \(d_E\) is ...
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ANALYTICAL APPROXIMATION OF EXACT POISSON-LOGNORMAL LIKELIHOOD FUNCTIONS

Health Physics, 2008
Simple analytical approximations of exact Poisson-lognormal likelihood functions are obtained numerically. The Poisson-lognormal statistical model describes counting measurements with lognormally distributed normalization factors. The analytical expressions for the likelihood function allow maximum likelihood data fitting using nonlinear-least-squares ...
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Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku, Stefan Schild, Maria Kaparakis-Liaskos   +2 more
exaly  

Innovations in research and clinical care using patient‐generated health data

Ca-A Cancer Journal for Clinicians, 2020
H S L Jim, Aasha I Hoogland, Naomi C Brownstein   +2 more
exaly  

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
exaly  

The Riemann Zeta-function: Approximation of Analytic Functions

2012
In the paper, a short survey on the theory of the Riemann zetafunction is given. The main attention is given to universality-approximation of analytic functions by shifts of the Riemann zeta-function. This includes the effectivization problem, generalization for other zeta-functions, joint universality as well as some applications.
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