Abstract

Some rational approximations which share the properties of Padé and best uniform approximations are considered. The approximations are best in the Chebyshev sense, but the optimization is performed over subsets of the rational functions which have specified derivatives at one end point of the approximation interval. Explicit relationships between the Padé and uniform approximations are developed assuming the function being approximated satisfies easily verified constraints. The results are applied to the exponential function to determine the existence of best uniform A-acceptable approximations.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.