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  • Adeleke, E.O., et al. (author)
  • On a new class of Hardy-type inequalities
  • 2012
  • In: Journal of inequalities and applications. - 1025-5834 .- 1029-242X. ; 2012:259
  • Journal article (peer-reviewed)abstract
    • In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real constants. This enables us to obtain new generalizations of the classical integral Hardy's, Hardy-Hilbert's, Hardy-Littlewood-P\'{o}lya's and P\'{o}lya-Knopp's inequalities as well as of Godunova's and of some recently obtained inequalities in multidimensional settings. Finally, we apply a similar idea to functions bounded from below and above with a superquadratic function.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Persson, Lars-Erik (1)
Adeleke, E.O. (1)
Čižmešija, A. (1)
Oguntuase, James A. (1)
Pokaz, D. (1)
University
Luleå University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2012 (1)

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