Results 11 to 20 of about 11,753 (303)
On best rational approximation of analytic functions
Journal of Approximation Theory, 2005 The main result contained in this paper is described as follows. Let \(E\) be a compact set in the extended complex plane \(\overline{C}\), \(n\) be a nonnegative integer and \(f:E \to C\) be continuous. Let us consider the best rational approximation \(\rho_n(f,E)\) of \(f\) in the uniform metric \(\| \cdot - \cdot \| _E\) on \(E\) by the set \(R_n ...
Prokhorov, V.A.
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Approximation by Rational Functions [PDF]
Proceedings of the American Mathematical Society, 1986 Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f ′ f’
DeVore, Ronald A
core +4 more sources
Stokes flows in a two-dimensional bifurcation [PDF]
Royal Society Open ScienceThe flow network model is an established approach to approximate pressure–flow relationships in a bifurcating network, and has been widely used in many contexts.
Yidan Xue +2 more
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Approximation by quotients of rational inner functions [PDF]
Proceedings of the American Mathematical Society, 1979 Let u be a continuous unimodular function on the n -dimensional torus T
John N. McDonald
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Approximation by rational functions in hardy space
Computers & Mathematics with Applications, 2000 It is known that the set of rational functions generated by \(\{C (\overline\beta z)=(1- \overline\beta z)^{-1}: \beta\in \widetilde {\mathcal L}\}\) is dense in \(A({\mathbf D})\) if \(\widetilde{\mathcal L}\subseteq {\mathbf D}\) satisfies the Hayman-Lyons condition.
Xin, L. I., Li, Xin
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On the Convergence of Polynomial Approximation of Rational Functions
Journal of Approximation Theory, 1997 Based on the notion of hybrid polynomials, the authors derive necessary and sufficient convergence criteria for various polynomial approximations of rational functions and rational curves. This paper investigates the convergence condition for the polynomial approximation of rational functions and rational curves.
Wang, Guo-Jin +2 more
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Best Rational Approximation to Markov Functions
Journal of Approximation Theory, 1994 The main result of this paper concerns rational approximations of Markov- Stieltjes functions in the dual spaces \(L^ p/H^ p\), \(1\leq p\leq\infty\), on the unit circle of the complex plane. For fixed \(n\) this paper considers approximation by rationals whose denominators have \(n\) different zeros all with double multiplicity.
Andersson, J.E.
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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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A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation
Mathematics, 2022 We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions.
Esma Yıldız Özkan
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On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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