函数凸性引伸及应用

Extension of Convexity of Function and Its Application

利用几何平均凸函数、对数凸函数、几何凸函数的性质建立若干新的不等式,使得某些国际数学奥林匹克竞赛题与数学通报问题作为其特例得以解决.

Properties of geometric mean convex functions, logarithmic convex functions and geometric convex functions were used to establish a number of new inequalities. Based on these inequalities, some problems of the International Mathematics Olympics Competition and issues of the Mathematical Bulletin, which could be treated as special cases, can be solved.