Article contents
An elementary proof of Gorny's inequality
Published online by Cambridge University Press: 14 November 2011
Synopsis
Gorny's inequality provides upper bounds for the sup-norms ∥f(k) of a function f over an interval [a, b] for k = 1, …, n − 1, assuming the sup-norms of f and f(n) to be given. We present a simple proof of that inequality and obtain sharper estimates of the constants contained in that inequality, compared with the original verison of Gorny.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 345 - 349
- Copyright
- Copyright © Royal Society of Edinburgh 1987
References
- 1
- Cited by