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Duality between Geometric Inequalities and Inequalities for Positive Numbers

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Recent Advances in Geometric Inequalities

Part of the book series: Mathematics and Its Applications ((MAEE,volume 28))

Abstract

As we noted in Chapter I, many of the geometric inequalities can be restricted to the three main sets of canonical variables, i.e.

  1. (i)

    the sides a, b, c

  2. (j)

    the angles A, B, C

  3. (k)

    the circumradius R, inradius r and semi-perimeter s.

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References

  1. M. S. Klamkin, ‘Duality in Triangle Inequalities’, Ford Motor Company Preprint, July 1971. (also, see Notices of A.M.S., August 1971, p. 782 ).

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© 1989 Springer Science+Business Media Dordrecht

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Mitrinović, D.S., Pečarić, J.E., Volenec, V. (1989). Duality between Geometric Inequalities and Inequalities for Positive Numbers. In: Recent Advances in Geometric Inequalities. Mathematics and Its Applications, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7842-4_2

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  • DOI: https://doi.org/10.1007/978-94-015-7842-4_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8442-2

  • Online ISBN: 978-94-015-7842-4

  • eBook Packages: Springer Book Archive

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