On the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞
Abstract
Let (X,ε,μ) be a measure space and let ƒ:X→ ℝ be a measurable function such that ||ƒ||p < ∞ for all p ≥ 1 and ||ƒ||∞ >0. In this paper, we describe the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞.
Citation
Olsen , L O R 2019 , ' On the rate of convergence of ((||ƒ|| p )¦(||ƒ||∞)) p as p →∞ ' , Mediterranean Journal of Mathematics , vol. 16 , 11 . https://doi.org/10.1007/s00009-018-1295-5
Publication
Mediterranean Journal of Mathematics
Status
Peer reviewed
ISSN
1660-5446Type
Journal article
Rights
© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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