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

Ano de publicación: 2008

Volume: 9

Número: 2

Páxinas: 60

Tipo: Artigo

Outras publicacións en: Journal of Inequalities in Pure and Applied Mathematics

Repositorio institucional: lock_openAcceso aberto Editor

Resumo

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.