On the relation between the maximum errors of the least pth approximation and the minimax approximation by a rational function

This paper deals with the least pth approximation (p even) by a rational function and gives a theoretical lower bound for the ratio of the maximum error of the minimax approximation to that of the least pth approximation. Through numerical examples on various kinds of functions we verified that the...

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Bibliographic Details
Published in:Circuits and Systems; Proceedings: Midwest Symposium on Circuits and Systems pp. 576 - 579
Main Authors: Nishi, T., Feng Lu
Format: Conference Proceeding
Language:English
Japanese
Published: IEEE 28.11.2002
Subjects:
Minimax techniques
ISBN:9780818689147, 0818689145
Online Access:Get full text
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Summary:This paper deals with the least pth approximation (p even) by a rational function and gives a theoretical lower bound for the ratio of the maximum error of the minimax approximation to that of the least pth approximation. Through numerical examples on various kinds of functions we verified that the above lower bound is a good estimation for the corresponding actual ratios. These results show that the least pth approximation for p=8 or 16 is usually enough to achieve a good approximation to the minimax approximation.
ISBN:9780818689147
0818689145
DOI:10.1109/MWSCAS.1998.759558