Results 11 to 20 of about 283,081 (284)
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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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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Rational Approximation Method for Stiff Initial Value Problems
Mathematics, 2021 While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov +3 more
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A Novel Method of Offset Approximation along the Normal Direction with High Precision
Mathematical and Computational Applications, 2017 A new algorithm is proposed for polynomial or rational approximation of the planar offset curve. The best rational Chebyshev approximation could be regarded as a kind of geometric approximation along the fixed direction.
Hongyan Zhao, Lian Zhou
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Active and Passive Realization of Fractance Device of Order 1/2
Active and Passive Electronic Components, 2008 Active and passive realization of Fractance device of order 1/2 is presented. The crucial point in the realization of fractance device is finding the rational approximation of its impedance function.
B. T. Krishna, K. V. V. S. Reddy
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Generalized Hypergeometric Function 3F2 Ratios and Branched Continued Fraction Expansions
Axioms, 2021 The paper is related to the classical problem of the rational approximation of analytic functions of one or several variables, particulary the issues that arise in the construction and studying of continued fraction expansions and their multidimensional ...
Tamara Antonova +2 more
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On the closedness of approximation spectra [PDF]
, 2009 Generalizing Cusick's theorem on the closedness of the classical Lagrange spectrum for the approximation of real numbers by rational ones, we prove that various approximation spectra are closed, using penetration properties of the geodesic flow in cusp ...
Parkkonen, Jouni, Paulin, Frédéric
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Location of approximations of a Markoff theorem
International Journal of Mathematics and Mathematical Sciences, 1990 Relative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, An introduction to diophantine approximation approximations are well located.
K. C. Prasad, M. Lari, P. Singh
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Rational points near planar curves and Diophantine approximation [PDF]
, 2015 In this paper, we establish asymptotic formulae with optimal errors for the number of rational points that are close to a planar curve, which unify and extend the results of Beresnevich-Dickinson-Velani and Vaughan-Velani.
Huang, Jing-Jing
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Advances in Mathematics, 1978 Let \(\pi_m\) denote the class of all real polynomials of degree at most \(m\) and \(\pi_{m,n}\) denote the collection of all rational functions \(r_{m,n}(x)=\frac{p(x)}{q(x)}, p\in\pi_m, q\in\pi_n\). Let \(\lambda_{m,n}\equiv\lambda_{m,n}(f^{-1})=\inf_{r_{m,n}\in\pi_{m,n}}\left\|\frac1{f(x)}-\gamma_{m,n}(x)\right\|_{l_{\infty}[0,\infty]}\) where \(f\),
Erdös, Paul +2 more
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