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Some multipoint extensions of the Rayleigh–Ritz inequality
Published online by Cambridge University Press: 14 November 2011
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