Approximation and Computation: A Festschrift in Honor of Walter Gautschi : Proceedings of the Purdue Conference, December 2-5, 1993 - Softcover

Inhaltsangabe

Gauss Elimination by Segments and Multivariate Polynomial Interpolation.- Quantization of the Gamma Function.- Vector Orthogonal Polynomials of Dimension - d.- An Extension of a Result of Rivlin on Walsh Equiconvergence (Faber Nodes).- The Parallel Solution of Ordinary Differential Equations and some Special Functions.- An Adaptive Semi-iterative Method for Symmetric Semidefinite Linear Systems.- A Unified Approach to Recurrence Algorithms.- Quasi-Interpolation on Irregular Points.- A Multigrid FFT Algorithm for Slowly Convergent Inverse Laplace Transforms.- Sharp Bounds for the Lebesgue Constant in Quadratic Nodal Spline Interpolation.- On the Error of Extended Gaussian Quadrature Formulae for Functions of Bounded Variation.- Simultaneous Diagonalization Algorithms.- On Some Approximations for the Zeros of Jacobi Polynomials.- Prediction and the Inverse of Toeplitz Matrices.- Stable Look-Ahead Versions of the Euclidean and Chebyshev Algorithms.- On the Approximation of Univalent Functions by Subordinate Polynomials in the Unit Disk.- Solutions to the Associated q-Askey-Wilson Polynomial Recurrence Relation.- From Schrödinger Spectra to Orthogonal Polynomials Via a Functional Equation.- Inequalities and Monotonicity Properties for Gamma and q-Gamma Functions.- Bounds for Remainder Terms in Szegö Quadrature on the Unit Circle.- Approximation of Integrals by Arithmetic Means and Related Matters.- Using Quasi-Interpolants in a Result of Favard.- Null Rules and Orthogonal Expansions.- Some Differential Equations Satisfied by Hypergeometric Functions.- On Mean Convergence of Lagrange-Kronrod Interpolation.- Finite-Part Integrals and the Euler-Maclaurin Expansion.- Approximation of Functions by Extended Lagrange Interpolation.- Error Estimates for Gauss-Laguerre and Gauss-Hermite Quadrature Formulas.- Using the Matrix Refinement Equation for the Construction of Wavelets II: Smooth Wavelets on [0, 1].- Summation of Series and Gaussian Quadratures.- On a Singular Perturbation Problem.- An Overview of Results on the Existence or Nonexistence and the Error Term of Gauss-Kronrod Quadrature Formulae.- The Generalized Exponential Integral.- On the Computation of the Zeros of the Bessel Polynomials.- Some Properties of Polynomials Bounded at Equally Spaced Points.- Numerical Methods via Transformations.- Computational Aspects of Incomplete Gamma Functions with Large Complex Parameters.- Sensitivity Analysis for Computing Orthogonal Polynomials of Sobolev Type.- Author index.

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