Director, Vanderbilt Center for Constructive Approximation, 2001-present

Editor-in-Chief, Computational Methods and Function Theory journal, 2001-present, Heldermann Publishers

Editor, Foundations of Computational Mathematics Journal (1999 – 2004)

President, Center on Distance Education for Lifelong Learning (CDELL), 1998 – 1999

Book Series Editor, Cambridge University Press, Textbooks in Applied Mathematics, 1995-present

Editor, Journal of Approximation Theory, 1990-present

Editor, International Journal of Pure and Applied Mathematics, 2009-present.

Director, USF Institute for Constructive Mathematics, 1985-2001

Associate Director, USF Center for Excellence in Mathematics, Science, Computers and
Technology, 1983-1990

Editor-In-Chief, Constructive Approximation journal, 1983-present, Springer-Verlag
Publishers

Director, USF Center for Mathematical Services, 1978-1983, University of South Florida

Senior Visiting Fellow, Spring 1978, Oxford University, Oxford, England

Referee for the Transactions of the American Mathematical Society, Proceedings of the
American Mathematical Society, Journal of Approximation Theory, SIAM, Journal on
Numerical Analysis and Journal of Computational Physics.

Referee for NSF and Army research proposals

Reviewer for Mathematical Reviews and Zentralblatt fr Mathematik