International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 2, Pages 103-108
doi:10.1155/S0161171202012899
On constrained uniform approximation
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Received 22 April 2001; Revised 8 October 2001
Copyright © 2002 M. A. Bokhari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The problem of uniform approximants subject to Hermite
interpolatory constraints is considered with an alternate
approach. The uniqueness and the convergence aspects of this
problem are also discussed. Our approach is based on work of P.
Kirchberger (1903) and a generalization of Weierstrass
approximation theorem.