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Pointwise estimates for an interpolation process of S. N. Bernstein

Part of: Harmonic analysis in one variable

Published online by Cambridge University Press:  09 April 2009

A. K. Varma  and
Xiang Ming Yu
A. K. Varma
Affiliation:
University of FloridaGainesville, Florida 32611, U.S.A.
Xiang Ming Yu
Affiliation:
University of South CarolinaColumbia, South Carolina 29208, U.S.A.
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Abstract

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The main object of this paper is to provide the solution of an open problem raised by Professor Ron DeVore concerning constructing interpolating process Hn [f, x] satisfying the inequality (1.11). Results on simultaneous approximation are also obtained.

Keywords

rate of convergenceinterpolation process

MSC classification

Secondary: 42A15: Trigonometric interpolation
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 2 , October 1991 , pp. 284 - 299
Copyright
Copyright © Australian Mathematical Society 1991

References

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