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
• DOI: 10.22199/issn.0717-6279-4538
• Enlaces
  • Texto completo
• 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.

       

• Referencias bibliográficas
  • M. Akkouchi and M. A. Ighachane, “Some refinements to Hölder’s inequality and applications”, Proyecciones (Antofagasta), vol. 39, no. 1, pp....
  • Y. Al-Manasrah and F. Kittaneh, “Further generalizations, refinements, and reverses of the young and Heinz Inequalities”, Results in Mathematics,...
  • M. A. Chaudhry and S. M. Zubair, On a class of incomplete gamma functions with applications. Chapman and Hall/CRC, 2002.
  • R. Díaz and C. Teruel, “q,k-generalized gamma and beta functions”, Journal of Nonlinear Mathematical Physics, vol. 12, no. 1, p. 118, 2005....
  • S. Furuichi, “On refined young inequalities and reverse inequalities”, Journal of Mathematical Inequalities, no. 1, pp. 21–31, 2011. https://doi.org/10.7153/jmi-05-03
  • G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, 2nd ed., Cambridge: Cambridge University Press, 1988.
  • M. A. Ighachane, M. Akkouchi, and E. H. Benabdi, “A new generalized refinement of the weighted arithmetic-geometric mean inequality”, Mathematical...
  • F. Merovci, “Turan type inequalities for some (q, k)-special functions”, Acta Universitatis Apulensis, vol. 34, pp. 69-76, 2013.
  • K. Nantomah, K. S. Nisarb and K. S. Gehlotc, “On a k-extension of the Nielsen’s β-function”, International Journal of Nonlinear Analysis and...
  • K. Nantomah, “Generalized Turan-type inequalities for the (q, k)-polygamma functions”, Communications in Mathematics and Applications, vol....
  • W. T. Sulaiman, “Turan inequalites for the Riemann zeta functions”, AIP Conference Proceedings, 2011. https://doi.org/10.1063/1.3636956