A Brunn-Minkowski-type inequality involving gamma-mean variance and its applications

作者：Wen, Jiajin; Wu, Shanhe^*; Han, Tianyong

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(11): 5836-5849.

DOI：10.22436/jnsa.009.11.12

• Brunn-Minkowski-type inequality
• gamma-mean variance
• performance appraisal
• profit function
• allowance function

By means of the algebra, functional analysis, and inequality theories, we establish a Brunn-Minkowskitype inequality involving gamma-mean variance:
(Var) over bar ([gamma]) (f + g) <= (Var) over bar ([gamma]) f + (Var) over bar ([gamma]) g, for all gamma is an element of[1,2].
where (Var) over bar ([gamma])phi is the gamma-mean variance of the function phi : Omega -> (0, infinity). We also demonstrate the applications of this inequality to the performance appraisal of education and business.

• 出版日期2016
• 单位成都大学; 龙岩学院