Results 251 to 260 of about 166,067,780 (284)
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Degree of approximation of analytic functions by “near the best” polynomial approximants
Lecture Notes in Mathematics, 1993Let \(K\) 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 approximations to the Lambert W function
Applied Mathematical Modelling, 2022Abstract The Lambert W function is defined as the multivalued inverse of the function w↦wew. It has a wide range of applications. We propose a new method to construct a high-precision analytical approximation of the two branches of W. The method is based on Pade approximation and Schroder's iteration.
Baisheng Wu +3 more
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Starlike approximations of analytic functions
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihai N. Pascu, Nicolae R. Pascu
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Convex approximations of analytic functions
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihai N. Pascu, Nicolae R. Pascu
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Approximation of Non-Analytic Functions by Analytical Ones
Russian Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burchaev, H. H., Ryabykh, G. Yu.
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ON RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
Mathematics of the USSR-Sbornik, 1973Let E be a regular compact set, and D an arbitrary domain containing E. A constructive characterization is given of the class of functions analytic in D, using best approximation on E by rational functions with a specially chosen sequence of poles. Bibliography: 4 items.
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New analytical approximations for the Mathieu functions
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. A. Dartora +2 more
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RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
Russian Academy of Sciences. Sbornik Mathematics, 1994Let \(E\) be an arbitrary compact set in the extended complex plane \(\overline \mathbb{C}\), \(f\) analytic on \(E\), and for any nonnegative integer \(n\) let \(\rho_ n\) denote the uniformly best error of the rational approximation of \(f\) on \(E\), i.e.
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ON THE APPROXIMATIONS TO ANALYTIC FUNCTIONS
1994Summary: We prove a theorem which shows that the uniqueness problem for entire functions of exponential type is equivalent to the approximation problem for analytic functions. This theorem is then combined with theorems on uniqueness to produce a number of results on the approximation of analytic functions.
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Analytical Approximations to Conditional Distribution Functions
Biometrika, 1993Abstract : Conditional inference plays a central role in statistics, but determination of relevant conditional distributions is often difficult. We develop analytical procedures that are accurate and easy to apply for approximating conditional distribution functions.
DiCiccio, Thomas J. +2 more
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