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Approximation by Several Rationals [PDF]
Bulletin of the Australian Mathematical Society, 2007 Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a_1/q_1, ..., a_n/q_n with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible
Shparlinski, Igor E.
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Impact of Commutation Failure Preventions on HVDC System Based on a Multi-Index Value Set Approach
IEEE Access, 2021 This paper proposes a systematic method, based on rational approximation and value set approach, to unravel the impact of commutation failure preventions (CFPREVs) on HVDC system dynamics.
Minquan Chen +3 more
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Rational Approximations of Arbitrary Order: A Survey
Fractal and Fractional, 2021 This paper deals with the study and analysis of several rational approximations to approach the behavior of arbitrary-order differentiators and integrators in the frequency domain.
José Daniel Colín-Cervantes +6 more
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The Stability Analysis of Linear Systems with Cauchy—Polynomial-Vandermonde Matrices
Axioms, 2023 The numerical approximation of both eigenvalues and singular values corresponding to a class of totally positive Bernstein–Vandermonde matrices, Bernstein–Bezoutian structured matrices, Cauchy—polynomial-Vandermonde structured matrices, and quasi ...
Mutti-Ur Rehman +3 more
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Concise high precision approximation for the complete elliptic integral of the first kind
AIMS Mathematics, 2021 In this paper, we obtain a concise high-precision approximation for $ \mathcal{K}(r) $: $ \begin{equation*} \frac{2}{\pi }\mathcal{K}(r){\rm{ }}>{\rm{ }}\frac{22\left( r^{\prime }\right) ^{2}+84r^{\prime }+22}{7\left( r^{\prime }\right) ^{3}+57 ...
Ling Zhu
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Mathematics in Engineering, 2023 We introduce several spatially adaptive model order reduction approaches tailored to non-coercive elliptic boundary value problems, specifically, parametric-in-frequency Helmholtz problems.
Francesca Bonizzoni +2 more
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Multivariate rational approximation [PDF]
Transactions of the American Mathematical Society, 1986 We estimate the error in approximating a function f f by rational functions of degree n n in the norm of L q ( Ω ) , Ω := [ 0 , 1 ] d
DeVore, Ronald A, Yu, Xiang Ming
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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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On a New Generalization of Bernstein-Type Rational Functions and Its Approximation
Mathematics, 2022 In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
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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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