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Some Good Sequences of Interpolatory Polynomials

Published online by Cambridge University Press:  20 November 2018

G. Freud  and
A. Sharma
G. Freud
Affiliation:
Mathematics Institute, Hungarian Academy of Science, Budapest, Hungary
A. Sharma
Affiliation:
University of Alberta, Edmonton, Alberta
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In 1963, P. L. Butzer [4, p. 180] asked whether it was possible to prove Jackson's theorem by means of an operator which is "almost" interpolatory in the sense that it is based on the values of the approximee at a finite number of nodes. In answer to this question, G. Freud introduced [4] a sequence of operators which led to an independent proof of Jackson's theorem. Strictly speaking these operators are not interpolatory but they are "almost" interpolatory in the above sense.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 1 , February 1974 , pp. 233 - 246
Copyright
Copyright © Canadian Mathematical Society 1974

References

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