关于∑cos^n(A/2)上下界问题的一般结果

ON A GENERAL RESULT OF THE GEOMETRIC INEQUALITY PROBLEM FOR THE UPPER AND LOWER BOUND OF cosnA2

彻底解决了ｃｏｓｎ（Ａ／２）上、下界问题（在△ＡＢＣ中），不仅给出其一般结果，将ＲＫｏｏｉｓｔｒａ、陈计等所给出的一系列几何不等式融于一个不等式，而且解决了一本重要文献中的一个“未解决问题”

The aim of this paper is to probe into and solve the geometric inequality problem “how to estimate the upper bounds and lower bounds of cosnA2 (n∈N,in △ABC)”, and to show the general result of this problem.The results of R.Kooistra and Chen Ji are the exceptional cases of this result.A conjecture in applied inequality is solved.