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Rational Approximation Formula for Chandrasekhar's H-function for Isotropic Scattering
Rational Approximation Formula Chandrasekhar's H-function
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2011/1/10
We first establish a simple procedure to obtain with 11-figure accuracy the values of Chandrasekhar's H-function for isotropic scattering using a closed-form integral representation and the Gauss-Lege...
Bernstein type inequality in monotone rational approximation
Bernstein type inequality monotone rational approximation
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2010/12/10
The following analog of Bernstein inequality for monotone rational functions is established: if R is an increasing on [−1, 1] rational function of degree n, then R′(x) < 9n 1 − x2 kRk, x ∈...