Refinement of Hardy's Inequalities Involving Many Functions Via Superquadratic Functions

Some new refined Hardy type integral inequalities involving n functions (n ∈ Z+) via superquadratic functions are established for p ≥ 2 and their dual inequalities are also derived. In particular, the results obtained complement and improve some recent results of Oguntuase and Persson.

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Bibliographic Details
Published inAnalele ştiinţifice ale Universitatii "Al. I. Cuza" din Iaşi. Secţiunea 1a: Matematicǎ Vol. 57; no. 2; pp. 271 - 283
Main Authors Oguntuase, J., Popoola, B.
Format Journal Article
LanguageEnglish
Published Versita 01.01.2011
Subjects
dual inequalities
Hardy's inequality
refinement of Hardy's inequalities
subquadratic functions
superquadratic functions
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Summary:Some new refined Hardy type integral inequalities involving n functions (n ∈ Z+) via superquadratic functions are established for p ≥ 2 and their dual inequalities are also derived. In particular, the results obtained complement and improve some recent results of Oguntuase and Persson.
Bibliography:ArticleID:v10157-011-0026-z
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ISSN:1221-8421
DOI:10.2478/v10157-011-0026-z