Uniform Approximation by Rational Functions Having Restricted Denominators. [PDF]
, 1981 This paper considers approximation of continuous functions on a compact metric space by generalized rational functions for which the denominators have bounded coefficients and are bounded below by a fixed positive function.
E. H. Kaufman, G. D. Taylor
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Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2010 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
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On approximation to an analytic function by rational functions of best approximation
Mathematische Zeitschrift, 1934 J. Walsh
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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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Interpolation and Approximation by Rational Functions in the Complex Domain
, 1935 The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by
J. Walsh
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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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Rational approximation of discrete data with asymptomatic behaviour [PDF]
This thesis is concerned with the least-squares approximation of discrete data that appear to exhibit asymptotic behaviour. In particular, we consider using rational functions as they are able to display a number of types of asymptotic behaviour.
Cooper, Philip
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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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Algebraic Solution of Tropical Best Approximation Problems
Mathematics, 2023 We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
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Extension of Dasgupta’s Technique for Higher Degree Approximation
Universitas Scientiarum, 2021 In the present paper, rational wedge functions for degree two approximation have been computed over a pentagonal discretization of the domain, by using an analytic approach which is an extension of Dasgupta’s approach for linear approximation.
P. L. Powar +2 more
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