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

Revista:
Journal of Inequalities in Pure and Applied Mathematics

ISSN: 1443-5756

Any de publicació: 2008

Volum: 9

Número: 2

Pàgines: 60

Tipus: Article

SCOPUS: 2-s2.0-46849089945 GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Journal of Inequalities in Pure and Applied Mathematics

Repositori institucional: lock_openAccés obert Editor

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Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Resum

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.