Results 21 to 30 of about 19,646 (265)
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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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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Addendum to “Rational Approximation”
Advances in Mathematics, 1977 Let \(f(z)=\sum_{k=0}^{\infty}a_kz^k,a_0> 0,a_k\geq 0(k\geq 1)\) be an entire function such that \(l< \lim\sup_{r\to\infty}\frac{\log\log M(r)}{\log\log r}=\rho+1< \infty\) and \(\lim\sup_{r\to\infty}(\inf)\quad(\log r)^{-\rho-1}\log M(r)=\alpha(\beta)\) where \(M(r)=\max_{\|z\|=r}\|f(z)\|\). The authors in Adv. Math.
Erdös, Paul, Reddy, A.R
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Frontiers in Applied Mathematics and Statistics, 2019 Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popular family of algorithms for the solution of the interior eigenvalue problem. We present a framework for the optimization of rational filters based on a non-
Jan Winkelmann, Edoardo Di Napoli
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Rational approximations to the dilogarithm [PDF]
Transactions of the American Mathematical Society, 1993 The irrationality proof of the values of the dilogarithmic function L 2
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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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On the rational approximation to Thue–Morse rational numbers
Rendiconti del Seminario Matematico della Università di Padova, 2023 Let b \ge 2 and \ell \ge 1 be integers. We establish that there is an absolute real number K
Bugeaud, Yann, Han, Guo-Niu
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Rational Approximation on Exponential Meshes [PDF]
Symmetry, 2020 Error estimates of pointwise approximation, that are not possible by polynomials, are obtained by simple rational operators based on exponential-type meshes, improving previous results. Rational curves deduced from such operators are analyzed by Discrete Fourier Transform and a CAGD modeling technique for Shepard-type curves by truncated DFT and the ...
Umberto Amato, Biancamaria Della Vecchia
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On rational approximation to | x |
Studia Scientiarum Mathematicarum Hungarica, 1998 Let \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $
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APPROXIMATION BY SEVERAL RATIONALS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractFollowing T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q1,…,an/qn with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q1,…,qn, one can improve a result of T. H.
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