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Some Other Transformations

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Recent Advances in Geometric Inequalities

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

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Abstract

Section I.3 contains results concerning the existence of a triangle the sides of which are obtained as elements of any given triangle. Therefore we can use these results for generating many other inequalities, i.e. using any known inequality for the sides of a triangle

$$ I\left( {a,b,c} \right) \geqslant 0 $$
(1)

, and any result from I.3, we get the inequality

$$ I\left( {{a_1},{b_1},{c_1}} \right) \geqslant 0 $$
(2)

, where al, b1, c1 are the sides of a new triangle given as in I.3.

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Authors and Affiliations

  1. University of Belgrade, Yugoslavia

    D. S. Mitrinović

  2. University of Zagreb, Yugoslavia

    J. E. Pečarić & V. Volenec

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  1. D. S. Mitrinović
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  2. J. E. Pečarić
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  3. V. Volenec
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© 1989 Springer Science+Business Media Dordrecht

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Mitrinović, D.S., Pečarić, J.E., Volenec, V. (1989). Some Other Transformations. In: Recent Advances in Geometric Inequalities. Mathematics and Its Applications, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7842-4_7

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  • DOI: https://doi.org/10.1007/978-94-015-7842-4_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8442-2

  • Online ISBN: 978-94-015-7842-4

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