subject: Walter Gautschi Archives date: 2014
10.4231/R7NK3BZ7
04/23/2014
Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions
Computer Science Densely oscillating weight functions Exponentially decaying weight functions Gaussian quadrature Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives
10.4231/R7QJ7F7V
04/23/2014
Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.
Computer Science FORTRAN Gauss quadrature approximation Jacobi weight functions Mathematics Matlab Numerical Evaluation Orthogonal polynomials Oscillatory integrals Software source code Walter Gautschi Archives
10.4231/R7V985Z5
04/23/2014
Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness
Bernstein’s inequality Computer Science Erdelyi–Magnus–Nevai conjecture Jacobi polynomials Mathematics Matlab Orthogonal polynomials Sharpness Software source code Walter Gautschi Archives
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