Refinements of some limit hardy-Type Inequalities via Superquadracity

James Oguntuase,Lars-Erik Persson,Olanrewaju O Fabelurin, Abdulaziz G Adeagbo-Sheikh

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD（2017）

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摘要

Refinements of some limit Hardy-type inequalities are derived and discussed using the concept of superquadracity. We also proved that all three constants appearing in the refined inequalities obtained are sharp. The natural turning point of our refined Hardy inequality is p = 2 and for this case we have even equality.

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关键词

Hardy-type inequalities,superquadratic functions,sharp constants,weight functions

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