Results 11 to 20 of about 217,177 (294)
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’ is in L log L L\log L on a finite interval, then f f can be approximated in the uniform norm by rational functions of degree
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Rational approximation for solving an implicitly given Colebrook flow friction equation [PDF]
, 2019 The empirical logarithmic Colebrook equation for hydraulic resistance in pipes implicitly considers the unknown flow friction factor. Its explicit approximations, used to avoid iterative computations, should be accurate but also computationally efficient.
Brkić, Dejan, Praks, Pavel
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Neural computation of arithmetic functions [PDF]
, 1990 A neuron is modeled as a linear threshold gate, and the network architecture considered is the layered feedforward network. It is shown how common arithmetic functions such as multiplication and sorting can be efficiently computed in a shallow neural ...
Bruck, Jehoshua, Siu, Kai-Yeung
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Approximating Threshold Circuits by Rational Functions
Information and Computation, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paturi, R., Saks, M.E.
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On uniform approximation by rational functions [PDF]
Proceedings of the American Mathematical Society, 1966 If X is a compact subset of the complex plane, C(X) will denote the sup norm algebra of continuous complex-valued functions on X; R(X) will denote the uniformly closed subalgebra of C(X) generated by the rational functions with poles off X. Whenever X has an interior, R(X) is a proper subalgebra of C(X).
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Optimal designs for a class of nonlinear regression models [PDF]
, 2004 For a broad class of nonlinear regression models we investigate the local E- and c-optimal design problem. It is demonstrated that in many cases the optimal designs with respect to these optimality criteria are supported at the Chebyshev points, which ...
Dette, Holger +2 more
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Fejer means of rational Fourier – Chebyshev series and approximation of function |x|s
Журнал Белорусского государственного университета: Математика, информатика, 2019 Approximation properties of Fejer means of Fourier series by Chebyshev – Markov system of algebraic fractions and approximation by Fejer means of function |x|s, 0 < s < 2, on the interval [−1,1], are studied.
Pavel G. Patseika, Yauheni A. Rouba
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On rational Abel – Poisson means on a segment and approximations of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2021 Approximations on the segment [−1, 1] of Markov functions by Abel – Poisson sums of a rational integral operator of Fourier type associated with the Chebyshev – Markov system of algebraic fractions in the case of a fixed number of geometrically different
Pavel G. Patseika, Yauheni A. Rouba
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Unconventional height functions in simultaneous Diophantine approximation [PDF]
, 2016 Simultaneous Diophantine approximation is concerned with the approximation of a point $\mathbf x\in\mathbb R^d$ by points $\mathbf r\in\mathbb Q^d$, with a view towards jointly minimizing the quantities $\|\mathbf x - \mathbf r\|$ and $H(\mathbf r ...
Fishman, Lior, Simmons, David
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On Approximation to Analytic Functions by Rational Functions [PDF]
Proceedings of the American Mathematical Society, 1953 Letf(z) be analytic in the interior of a rectifiable Jordan curve C and continuous in the corresponding closed region C. The relation between continuity properties of f(z) on C and degree of approximarion to f(z) by polynomials -rT(z) in z of respective degrees n, n = 1, 2, * * *, has been extensively studied. In the present paper we study the relation
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