دانلود کتاب Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, 1998

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Front Matter....Pages i-xiii
The Sensitivity of Least Squares Polynomial Approximation....Pages 1-19
Transpose-Free Look-Ahead Algorithms for Lanczos’ Method....Pages 21-40
Applications of Anti-Gauss Quadrature Rules in Linear Algebra....Pages 41-56
Stieltjes Polynomials and the Error of Gauss-Kronrod Quadrature Formulas....Pages 57-77
Fast Solution of Confluent Vandermonde-Like Linear Systems Using Polynomial Arithmetic....Pages 79-92
On Discrete Polynomial Least-Squares Approximation in Moving Time Windows....Pages 93-107
Quadrature Rules Based on s -Orthogonal Polynomials for Evaluating Integrals with Strong Singularities....Pages 109-119
Gegenbauer Weight Functions Admitting L 2 Duffin and Schaeffer Type Inequalities....Pages 121-131
Questions Related to Gaussian Quadrature Formulas and Two-Term Recursions....Pages 133-144
Construction and Computation of a New Set of Orthogonal Polynomials....Pages 145-151
Fourier Transforms of Orthogonal Polynomials of Singular Continuous Spectral Measures....Pages 153-163
On a Sequence of Fast Decreasing Polynomial Operators....Pages 165-178
Müntz Orthogonal Polynomials and Their Numerical Evaluation....Pages 179-194
Positivity of Gauss-Kronrod Formulae for a Certain Ultraspherical Weight Function....Pages 195-202
A Christoffel-Darboux-Type Formula for Szegö Polynomials and Polynomial Evaluation....Pages 203-216
Applications of Tensor-Valued Tri-Variate Hermite Polynomials and Spherical Harmonics in the Kinetic Theory of Gases....Pages 217-225
Indeterminate Moment Problems and a Conjecture on the Growth of the Entire Functions in the Nevanlinna Parametrization....Pages 227-237
Spectral Methods Based on Nonclassical Orthogonal Polynomials....Pages 239-251
Back Matter....Pages 253-273