关于n进制中位数函数的高次几何均值的计算  

On High Power Geometric Mean Value Computations of the Location Number Function

作　　者：车雨红[1] 

机构地区：[1]渭南师范学院数理学院,陕西渭南714000

出　　处：《首都师范大学学报（自然科学版）》2016年第3期4-6,共3页Journal of Capital Normal University：Natural Science Edition

基　　金：陕西省自然科学基金资助项目(2014JM1026);渭南师范学院校级项目(15YKP015)

摘　　要：就自然数列的位数函数的高次几何均值的计算方法进行了研究,采用了归纳、猜想的方法得出了相关引理,再利用引理得出了高次几何均值的精确计算公式,并给出了证明.它的研究与得出,解决了位数函数高次几何均值的计算问题,丰富了位数函数的理论知识,对函数高次几何均值的发展起着推动作用.It was studied the computations of high power geometric mean value, and used induction suspected methods then has obtained the direct lemmas which was related to, also using these directed lemmas to obtain the accurate fomula, also has given the proof. It solves the problem of the calculation of the higher geometric mean of the number of functions, and enriches the theoretical knowledge of the digit function, and promotes the development of high power geometric mean

关 键 词：N进制 位数函数 高次几何均值 

分 类 号：O156.4[理学—数学]