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Some multipoint extensions of the Rayleigh–Ritz inequality

Published online by Cambridge University Press:  14 November 2011

Richard C. Brown  and
Ivo Vrkoč
Richard C. Brown
Affiliation:
Department of Mathematics, University of Alabama, University, Alabama 35486, U.S.A.
Ivo Vrkoč
Affiliation:
Mathematical Institute, Czechoslovak Academy of Sciences, Prague, č.S.S.R.
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Synopsis

We obtain the best constants for multipoint extensions of the Rayleigh–Ritz inequality, and use our results to find good upper bounds for the constants involved in the standard spline approximation and interpolation error bound theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 100 , Issue 1-2 , 1985 , pp. 157 - 174
Copyright
Copyright © Royal Society of Edinburgh 1985

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