Approximation and Computation: A Festschrift in Honor of Walter Gautschi

1. Bounds for Remainder Terms in Szegö Quadrature on the Unit Circle

   • William B. Jones, Haakon Waadeland

   Pages 325-342

2. Approximation of Integrals by Arithmetic Means and Related Matters

   • Jacob Korevaar

   Pages 343-352

3. Using Quasi-Interpolants in a Result of Favard

   • Thomas Kunkle

   Pages 353-357

4. Null Rules and Orthogonal Expansions

   • Dirk P. Laurie

   Pages 359-370

5. Some Differential Equations Satisfied by Hypergeometric Functions

   • Jean Letessier, Galliano Valent, Jet Wimp

   Pages 371-381

6. On Mean Convergence of Lagrange-Kronrod Interpolation

   • Shikang Li

   Pages 383-396

7. Finite-Part Integrals and the Euler-Maclaurin Expansion

   • J. N. Lyness

   Pages 397-407

8. Approximation of Functions by Extended Lagrange Interpolation

   • G. Mastroianni

   Pages 409-420

9. Error Estimates for Gauss-Laguerre and Gauss-Hermite Quadrature Formulas

   • G. Mastroianni, G. Monegato

   Pages 421-434

10. Using the Matrix Refinement Equation for the Construction of Wavelets II: Smooth Wavelets on [0,1]

    • Charles A. Micchelli, Yuesheng Xu

    Pages 435-457

11. Summation of Series and Gaussian Quadratures

    • Gradimir V. Milovanović

    Pages 459-475

12. On a Singular Perturbation Problem

    • K.-C. Ng, R. Wong

    Pages 477-484

13. An Overview of Results on the Existence or Nonexistence and the Error Term of Gauss-Kronrod Quadrature Formulae

    • Sotirios E. Notaris

    Pages 485-496

14. The Generalized Exponential Integral

    • F. W. J. Olver

    Pages 497-510

15. On the Computation of the Zeros of the Bessel Polynomials

    • Lionello Pasquini

    Pages 511-534

16. Some Properties of Polynomials Bounded at Equally Spaced Points

    • Theodore J. Rivlin

    Pages 535-542

17. Numerical Methods via Transformations

    • Frank Stenger

    Pages 543-550

18. Computational Aspects of Incomplete Gamma Functions with Large Complex Parameters

    • N. M. Temme

    Pages 551-562

19. Sensitivity Analysis for Computing Orthogonal Polynomials of Sobolev Type

    • Minda Zhang

    Pages 563-576

20. Back Matter

    Pages 577-593

    PDF

R. V. M. Zahar* The sixty-fifth birthday of Walter Gautschi provided an opportune moment for an international symposium in his honor, to recognize his many contributions to mathematics and computer sciences. Conceived by John Rice and sponsored by Purdue University, the conference took place in West Lafayette from December 2 to 5, 1993, and was organized around the four main themes representing Professor Gautschi's principal research interests: Approximation, Orthogonal Polynomials, Quadrature and Special Functions. Thirty-eight speakers - colleagues, co-authors, research collaborators or doctoral students of Professor Gautschi - were invited to present articles at the conference, their lectures providing an approximately equal representation of the four disciplines. Five invited speakers, Germund Dahlquist, Philip Davis, Luigi Gatteschi, Werner Rheinboldt and Stephan Ruscheweyh, were unable to present their talks because of illness or other commitments, although Professors Dahlquist, Gatteschi and Ruscheweyh subsequently contributed arti­ cles to these proceedings. Thus, the final program contained thirty-three technical lectures, ten of which were plenary sessions. Approximately eighty scientists attended the conference, and for some ses­ sions - in particular, Walter's presentation of his entertaining and informative Reflections and Recollections - that number was complemented by many visitors and friends, as well as the family of the honoree. A surprise visit by Paul Erdos provided one of the highlights of the conference week. The ambiance at the sym­ posium was extremely collegial, due no doubt to the common academic interests and the personal friendships shared by the participants.

• Approximation
• Interpolation
• calculus
• computer science
• functional equation
• mathematics

• Département d’informatique et de recherche opérationnelle, Université de Montréal, Montréal, Canada

  R. V. M. Zahar

Policies and ethics