Short proofs of some inequalities of Horst Alzer

Malcolm T. McGregor

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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)

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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.

The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean.

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Some inequalities with integral means.

Toader, Gheorghe, Raşa, Ioan (1996)

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The optimal convex combination bounds for Seiffert's mean.

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Some comparison inequalities for generalized Muirhead and identric means.

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On some inequalities analogous to Gruss inequality

J. Pečarić (1980)

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On the Schwab-Borchardt mean.

Neuman, E., Sándor, J. (2003)

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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.