Blar i forfatter Institutt for datateknologi og beregningsorienterte ingeniørfag "Adeleke, EO"
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On a New Class of Hardy-type Inequalities
Adeleke, EO; Cizmesija, Aleksandra; Oguntuase, JA; Persson, Lars Erik; Pokaz, D (Journal article; Tidsskriftartikkel; Peer reviewed, 2012-11-05)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, Hardy-Hilbert, Hardy-Littlewood-Pólya, and Pólya-Knopp inequalities as well as of Godunova’s and of some recently obtained ... -
Refinements of Bennett type inequalities
Oguntuase, James A; Persson, Lars-Erik; Adeleke, EO (Journal article; Tidsskriftartikkel; Peer reviewed, 2023)In this paper we discuss, complement and improve some Bennett type inequalities. In particular,we prove a new refinement of a Bennett type inequality using super quadracity argument. -
SOME NEW REFINEMENTS OF HARDY-TYPE INEQUALITIES
Oguntuase, J. A.; Fabelurin, Olanrewaju O; Persson, Lars Erik; Adeleke, EO (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-02-11)We obtain some further refinements of Hardy-type inequalities via superqudraticity technique. Our results both unify and further generalize several results on refinements of Hardy-type inequalities in the literature.