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Improvement of an inequality of G. H. Hardy

DOI: 10.5556/j.tkjm.43.2012.399-416

Keywords: Convex function , kernel , fractional derivative , fractional integrals , means

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Abstract:

In this paper, we give an improvement of an inequality of G. H. Hardy using fractional integrals and fractional derivatives. We also obtain means of Cauchy type and prove their monotonicity.

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