Title | Approximation and Computation: A Festschrift in Honor of Walter Gautschi [electronic resource] : Proceedings of the Purdue Conference, December 2-5, 1993 / edited by R. V. M. Zahar |
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Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1994 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-7415-2 |
Descript | 593 p. online resource |
Gauss Elimination by Segments and Multivariate Polynomial Interpolation -- Quantization of the Gamma Function -- Vector Orthogonal Polynomials of Dimension โ 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 Schrรถdinger Spectra to Orthogonal Polynomials Via a Functional Equation -- Inequalities and Monotonicity Properties for Gamma and q-Gamma Functions -- Bounds for Remainder Terms in Szegรถ 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