Results 1 to 10 of about 148,991,006 (286)
Weighted rational approximation in the complex plane [PDF]
Journal Des Mathematiques Pures Et Appliquees, 1999 Given a domain \(G\subset\mathbb{C}\), \(f\) analytic in \(G\), a weight function \(W\) also analytic in \(G\) and \(W(z)\neq 0\) in \(G\), and \(\gamma\) with \(0\leq\gamma\leq 1\), the authors study the rational approximation property of \(W\): There exist rational functions \(R_i=P_{m_i}/Q_{n_i}\) where \(P,Q\) are polynomials of degree \(\leq m_i\)
Pritsker, I.E., Varga, R.S.
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Best approximation over the whole complex plane [PDF]
Journal of Approximation Theory, 1982 AbstractBest rational approximation over the whole complex plane is investigated. While existence is elementary, there is not always uniqueness—every constant may be the best constant approximation to f(z) = z. However, under certain circumstances, the set of best approximations is, in a sense, bounded.
O Shisha, D S Lubinsky
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Polynomial approximation of analytic functions on a finite number of continua in the complex plane [PDF]
Journal of Approximation Theory, 2005 The author generalizes a theorem of Dzyadyk on polynomial approximation on a continuum in the complex plane to the case of compact sets that consist of finitely many continua.
Vladimir V Andrievskii
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Weighted uniform polynomial approximation and moduli of smoothness on continua in the complex plane [PDF]
Journal of Approximation Theory, 2012 The starting point of the analysis is a result due to \textit{G. Mastroianni} and \textit{V. Totik} [J. Approx. Theory 110, No. 2, 180--199 (2001; Zbl 0981.41016)]. The aim of the paper is to extend this result to the case of weighted polynomial approximation on compact sets in the complex plane. The main results of the paper are contained in Theorem 1
Vladimir V Andrievskii
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Weighted polynomial approximation in the complex plane [PDF]
Electronic Research Announcements of the American Mathematical Society, 1997 Given a pair ( G , W ) (G,W) of an open bounded set G G in the complex plane and a weight function W ( z ) W(z) which is analytic and different from zero in G G , we consider the problem of the locally uniform ...
Pritsker, Igor E., Varga, Richard S.
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The Complexity of Approximating the Matching Polynomial in the Complex Plane [PDF]
ACM Transactions on Computation Theory, 2021 We study the problem of approximating the value of the matching polynomial on graphs with edge parameter γ, where γ takes arbitrary values in the complex plane. When γ is a positive real, Jerrum and Sinclair showed that the problem admits an FPRAS on general graphs.
Ivona Bezáková +3 more
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Sparse Plane Wave Approximation of Acoustic Modes to Address Basis Mismatch
Applied Sciences, 2022 Low-frequency sound field reconstruction in an enclosed space has many applications where the plane wave approximation of acoustic modes plays a crucial role.
Jian Xu +3 more
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Zeros and approximations of Holant polynomials on the complex plane
computational complexity, 2022 AbstractWe present fully polynomial time approximation schemes for a broad class of Holant problems with complex edge weights, which we call Holant polynomials. We transform these problems into partition functions of abstract combinatorial structures known as polymers in statistical physics.
Casel, Katrin (Dr.) +4 more
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On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]
Mathematica Moravica, 2023 In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes ...
Jafarov Sadulla Z.
doaj
Approximation by Rational Functions in Variable Exponent Morrey–Smirnov Classes
Journal of Mathematics, 2022 In this work, the direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain of the complex plane bounded by two sufficiently smooth curves, is investigated.
Ahmed Kinj
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