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Certain mapping properties of rational complex planar splines

Published online by Cambridge University Press:  24 October 2008

H. P. Dikshit ,
A. Ojha  and
A. Sharma
H. P. Dikshit
Affiliation:
R. D. University, Jabalpur, India
A. Ojha
Affiliation:
R. D. University, Jabalpur, India
A. Sharma
Affiliation:
University of Alberta, Edmonton, Canada
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Summary

Considering a certain partition of a given compact region in the complex plane, interpolatory, convergence and quasiconformal properties of interpolants from the class of continuous piecewise functions with pieces as quadratic polynomials in z and were studied recently in [3] and [7]. In the present paper we succeed in showing that the foregoing mapping properties continue to hold for interpolants from a certain class of continuous piecewise rational polynomial functions in z and

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 1 , January 1987 , pp. 141 - 149
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

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