On the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞

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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 →∞.
Original languageEnglish
Article number11
Number of pages10
JournalMediterranean Journal of Mathematics
Volume16
Early online date5 Jan 2019
DOIs
Publication statusPublished - Feb 2019

Keywords

  • Lp-norm
  • Rate of convergence

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