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Discrete and shift Kolmogorov type inequalities

Published online by Cambridge University Press:  14 November 2011

Z. Ditzian
Z. Ditzian
Affiliation:
University of Alberta, Edmonton, Canada
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Synopsis

The operators Δhf ≡ f(x) on function spaces and Δxn ≡ xn+1–xn on sequence spaces replace derivatives to yield analogues of the Kolmogorov inequality. Estimates for best constants are given for many spaces and for a few the best constants are actually given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 3-4 , 1983 , pp. 307 - 317
Copyright
Copyright © Royal Society of Edinburgh 1983

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