Results 221 to 230 of about 2,717 (263)

“Some Inequalities for a Triangle”

The Mathematical Gazette, 1969
In a paper with the same title, Carlitz [1] proves two inequalities about a triangle ABC and an internal point O :
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Similarity, kernels, and the triangle inequality

Journal of Mathematical Psychology, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jäkel, F., Schölkopf, B., Wichmann, F.
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Generalising a triangle inequality

The Mathematical Gazette, 2018
The main goal of this paper is to give a deeper understanding of the geometrical inequality proposed by Martin Lukarevski in [1]. In order to formulate our results we shall introduce and use the following notation throughout this paper. Let A 1 A 2
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Inequalities with Several Triangles

1989
Let ABC be a triangle. Let D be a point between B and C, let E be a point between C and A, and let F be a point between A and B. Denote the areas of triangles DEF, AEF, BFD, CDE by G, F1, F2, F3, respectively, and assume without loss of generality that F1 ≤ F2 ≤ F3.
D. S. Mitrinović, J. E. Pečarić, V. Volenec   +2 more
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Duality between Different Triangle Inequalities and Triangle Inequalities with (R, r, s)

1989
A very useful method in proving geometric inequalities is the transformation of any triangle inequality $$ F({f_1}({u_1},{v_1},{w_1}),...,{f_n}({u_n},{v_n},{w_n})) \geqslant 0 $$ (1) where (ui, vi, wi) (i = 1, ..., n) are sets of triangle elements, into a triangle inequality with (R, r, s).
D. S. Mitrinović, J. E. Pečarić, V. Volenec   +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

A Triangle Inequality

2022
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Triangle Inequalities

1993
D. S. Mitrinović, J. E. Pečarić, A. M. Fink   +2 more
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Triangle Inequalities

1997
Michel Marie Deza, Monique Laurent
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Inequalities on the triangle

Journal of Mathematical Research with Applications, 2016
The article deals with generalizations of the inequalities for convex functions on the triangle. The Jensen and the Hermite-Hadamard inequality are included in the study. Considering a convex function on the triangle, we obtain a generalization of the Jensen-Mercer inequality, and a refinement of the Hermite-Hadamard inequality.
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