A stability version of Hölder's inequality for 0 < p < 1

  1. Aldaz, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Journal of Inequalities in Pure and Applied Mathematics

ISSN: 1443-5756

Year of publication: 2008

Volume: 9

Issue: 2

Pages: 60

Type: Article

SCOPUS: 2-s2.0-46849089945 GOOGLE SCHOLAR lock_openOpen access editor

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Abstract

We use a refinement of Holder's inequality for 1 < p < ∞ to obtain the corresponding refinement when r ∈ (0,1). This in turn allows us to sharpen the reverse triangle inequality on the nonnegative functions in Lr, for r ∈ (0, 1). © 2007 Victoria University. All rights reserved.