Recent Inequality Problems

Manfrino, Radmila Bulajich; Gómez Ortega, José Antonio; Delgado, Rogelio Valdez

doi:10.1007/978-3-0346-0050-7_3

Radmila Bulajich Manfrino³,
José Antonio Gómez Ortega⁴ &
Rogelio Valdez Delgado³

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Abstract

(Bulgaria, 1995) Let S_A, S_B and S_C denote the areas of the regular heptagons A₁A₂A₃A₄A₅A₆A₇, B₁B₂B₃B₄B₅B₆B₇ and C₁C₂C₃C₄C₅C₆C₇, respectively. Suppose that A₁A₂=B₁B₃=C₁C₄, prove that

$$\frac{1} {2} < \frac{{S_B + S_C }}{{S_A }} < 2 - \sqrt 2 .$$

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Authors and Affiliations

Facultad de Ciencias, Universidad Autónoma Estado de Morelos, Av. Universidad 1001 Col. Chamilpa, 62209, Cuernavaca, Morelos, México
Radmila Bulajich Manfrino & Rogelio Valdez Delgado
Departamento de Matemàticas Facultad de Ciencias, UNAM, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, México, D.F., México
José Antonio Gómez Ortega

Authors

Radmila Bulajich Manfrino
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José Antonio Gómez Ortega
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Rogelio Valdez Delgado
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Manfrino, R.B., Gómez Ortega, J.A., Delgado, R.V. (2009). Recent Inequality Problems. In: Inequalities. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0050-7_3

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DOI: https://doi.org/10.1007/978-3-0346-0050-7_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0049-1
Online ISBN: 978-3-0346-0050-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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