Results 171 to 180 of about 574,412 (205)
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On some extremal problems of approximation theory in the complex plane
Ukrainian Mathematical Journal, 2004In the Hardy Banach spaces Hq, Bergman Banach spaces H′q, and Banach spaces ℬ (p, q, λ), we determine the exact values of the Kolmogorov, Bernstein, Gel’fand, linear, and trigonometric n-widths of classes of functions analytic in the disk |z| < 1 and such that the averaged moduli of continuity of their r-derivatives are majorized by a certain function.
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General connection formulae for Liouville-Green approximations in the complex plane
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1978This paper is concerned with differential equations of the form d 2 w/dz 2 = {u 2 f(u,z) +g(u,z)}w in which u is a positive parameter and z is a complex variable ranging over a simply connected open domain D
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Rational approximation in the complex plane using a τ-method and computer algebra
Numerical Algorithms, 1997The Cauchy problem for systems of linear ordinary differential equations with polynomial coefficients on the complex plane is treated. An adapted Lanczos \(\tau\)-method is derived for global rational approximation of the solution. The method is based on the properties of the Chebyshev series and symbolic computation. Examples are given.
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International Journal of Applied and Computational Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uniform polynomial approximation of entire functions on arbitrary compact sets in the complex plane
Mathematical Notes, 1995The author considers the connection between the rate of growth of an entire function and the rate of the best polynomial approximation to this function. Let \(K\) be a compact subset on the complex plane. If \(u_1, \dots, u_n \in K\), \(n \in \mathbb{N}\), then set \[ V(u_1, \dots, u_n) = \prod_{1 \leq k < l \leq n} (u_k - u_l), \quad V_n = \max_{u_1, \
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
2000
Oscillations in a complex system such as a neuron or an area of cortex imply that recursive exchanges of ions and energy are taking place. Dynamic modeling starts with writing two coupled differential equations having at least two state variables, the output of each equation providing input to the other. These relations describe a feedback loop. One of
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Oscillations in a complex system such as a neuron or an area of cortex imply that recursive exchanges of ions and energy are taking place. Dynamic modeling starts with writing two coupled differential equations having at least two state variables, the output of each equation providing input to the other. These relations describe a feedback loop. One of
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Rational Approximations in the Complex Plane
Journal of the London Mathematical Society, 1955openaire +1 more source
Rational approximation with varying weights in the complex plane
Computational Methods and Function Theory 1997, 1999Igor E. Pritsker, Richard S. Varga
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Rational Approximations in the Complex Plane (II)
Journal of the London Mathematical Society, 1956openaire +2 more sources