Results 231 to 240 of about 644,844 (268)
Some of the next articles are maybe not open access.
The Lemoine triangle transformation and the triangle inequalities
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 1997Using some new triangle identities, obtained by the Lemoine transformation, the corresponding triangle inequalities are proved.
Pečarić, Josip +2 more
openaire +2 more sources
Erdos-Mordell-Type Inequalities in a Triangle
The American Mathematical Monthly, 2003with equality if and only if the triangle is equilateral and P is its center. This inequality was conjectured by Erdős [1] and proved by Mordell and Barrow [2]. Oppenheim [3] established a number of additional inequalities relating the six distances p, q, r , x , y, and z. Such an inequality will be referred to as an Erdős-Mordell-type inequality.
openaire +2 more sources
From the triangle inequality to the isoperimetric inequality
Resonance, 2014Starting from the triangle inequality, we will discuss a series of shape optimization problems using elementary geometry and ultimately derive the classical isoperimetric inequality in the plane.
openaire +1 more source
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.
openaire +2 more sources
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.
openaire +2 more sources
An Inequality for Triangles: 10950
The American Mathematical Monthly, 2003Ovidiu Furdui, O. P. Lossers
openaire +2 more sources
The American Mathematical Monthly, 1971
(1971). Cubic Triangle Inequalities. The American Mathematical Monthly: Vol. 78, No. 8, pp. 879-881.
openaire +1 more source
(1971). Cubic Triangle Inequalities. The American Mathematical Monthly: Vol. 78, No. 8, pp. 879-881.
openaire +1 more source
Regular Random Choice and the Triangle Inequalities
Journal of Mathematical Psychology, 2022Yves Sprumont
exaly
More Triangle Inequalities: 10955
The American Mathematical Monthly, 2004Razvan A. Satnoianu, Isaac Sofair
openaire +2 more sources