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
E.F. Beckeribach and R. Bellman, Inequalities. J. Springer Verlag, Berlin, 1971.
A. Kovačec, Über den algorithmischen Nachweis von Ungleichungen I. Monaten, Math. 92 (1981), 19–35.
A. Kovačec, Über den algorithmischen Nachweis von Ungleichungen II, Submitted to: J. Reine Angew. Math.
A.W. Marshall and I. Olkin, Inequalities; Theory of Majorization and its Applications. Academic Press, 1979.
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
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