A new refinement of the generalized Hölder's inequality with applications

• Ighachane, Mohamed Amine ; Benabdi, El Hassan ^[1] ; Akkouchi, Mohamed
  1. [1] Cadi Ayyad University

     Cadi Ayyad University

     Marrakech-Medina, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 3, 2022, págs. 643-661
• Idioma: inglés
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• Resumen

  • In this paper, we prove a further generalized refinement of the weighted arithmetic-geometric mean inequality. As application, we show a new refinement of the generalized classical Hölder’s inequality and we give refinements to several inequalities for some special functions.