Titlebook: Recent Advances in Geometric Inequalities; D. S. Mitrinovi?,J. E. Pe?ari?,V. Volenec Book 1989 Springer Science+Business Media Dordrecht 1

OATH

拋射物

Homogeneous Symmetric Polynomial Geometric Inequalities, the form p(a, b, c) 0 or p(a, b, c) 0 where p(a, b, c) is a symmetric and homogeneous polynomial of degree n in the real variables a, b, c representing the sides of a triangle. They gave the general solution for such inequalities if n ≤ 3.

Spongy-Bone

Some Other Transformations,n use these results for generating many other inequalities, i.e. using any known inequality for the sides of a triangle ., and any result from I.3, we get the inequality ., where a., b., c. are the sides of a new triangle given as in I.3.

脾氣暴躁的人

營(yíng)養(yǎng)

Homogeneous Symmetric Polynomial Geometric Inequalities, the form p(a, b, c) 0 or p(a, b, c) 0 where p(a, b, c) is a symmetric and homogeneous polynomial of degree n in the real variables a, b, c representing the sides of a triangle. They gave the general solution for such inequalities if n ≤ 3.

PANIC

Resection

少量

Special Triangles,ng a. + b. + c. = 8R. is a right triangle. Starting from these well-known properties V. Devidé [1] has investigated at length the special class of triangles defined by a. + b. + c. = 6R.. O. Bottema [2] considered the general class of triangles (k-triangles) defined by a. + b. + c. = kR.. In [12] it

Cholagogue

ANTE

Some Trigonometric Inequalities, that many of these inequalities are still valid for real numbers A, B, C which satisfy the condition . where p is a natural number (which has to be odd in some cases). This also applies to the inequality of M. S. Klamkin [2] which can be specialized in many ways to obtain numerous well known inequalities.