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Displaying similar documents to “Short proofs of some inequalities of Horst Alzer”

On refinements of certain inequalities for means

Sándor, József Sándor, József (1995)

Archivum Mathematicum

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In this paper we obtain certain refinements (and new proofs) for inequalities involving means, results attributed to Carlson; Leach and Sholander; Alzer; Sndor; and Vamanamurthy and Vuorinen.

Some integral inequalities of Hölder and Minkowski type

Ondrej Hutník (2007)

Colloquium Mathematicae

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A number of integral inequalities of Hölder and Minkowski type involving a class of generalized weighted quasi-arithmetic means in integral form is established. Some well known inequalities and their generalizations are derived as consequences of our results.