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On an Algorithmic Method to Prove Inequalities

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General Inequalities 3

Abstract

In this paper, we give a summary of a new method for proving inequalities. For the sake of brevity, we omit the full proofs of the main theorems; however, we do give their principal ideas, along with a number of applications. For details, the reader is referred to [2], [3].

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References

  1. E.F. Beckeribach and R. Bellman, Inequalities. J. Springer Verlag, Berlin, 1971.

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  2. A. Kovačec, Über den algorithmischen Nachweis von Ungleichungen I. Monaten, Math. 92 (1981), 19–35.

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  3. A. Kovačec, Über den algorithmischen Nachweis von Ungleichungen II, Submitted to: J. Reine Angew. Math.

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  4. A.W. Marshall and I. Olkin, Inequalities; Theory of Majorization and its Applications. Academic Press, 1979.

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  5. A.W. Marshall and I. Olkin, Inequalities via majorization — an introduction, pp. — in E.F. Beckenbach (ed.), General Inequalities 3. Birkhauser Verlag, Basel, Stuttgart, New York, 1982.

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© 1983 Springer Basel AG

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Kovačec, A. (1983). On an Algorithmic Method to Prove Inequalities. In: Beckenbach, E.F., Walter, W. (eds) General Inequalities 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6290-5_5

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  • DOI: https://doi.org/10.1007/978-3-0348-6290-5_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6292-9

  • Online ISBN: 978-3-0348-6290-5

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