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Inequalities Associated with the Triangle

Published online by Cambridge University Press:  20 November 2018

W. J. Blundon
W. J. Blundon*
Affiliation:
Memorial University of Newfoundland
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Let R, r, s represent respectively the circumradius, the inradius and the semiperimeter of a triangle with sides a, b, c. Let f(R, r) and F(R, r) be homogeneous real functions. Let q(R, r) and Q(R, r) be real quadratic forms. The latter functions are thus a special case of the former. Our main result is to derive the strongest possible inequalities of the form

1

with equality only for the equilateral triangle.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 5 , October 1965, pp. 615 - 626
Copyright
Copyright © Canadian Mathematical Society 1965

References

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