一道由积分给出的数列考研题的解法探究  

Investigations on Solutions to an NEEP Problem Concerning a Sequence of Riemann Integrals

作　　者：王成强 WANG Chengqiang(School of Mathematics, Chengdu Normal University, Chengdu 611130, China)

机构地区：[1]成都师范学院数学学院,四川成都611130

出　　处：《河南教育学院学报（自然科学版）》2020年第1期61-66,共6页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：国家自然科学基金(11701050,11571244);成都师范学院校级培育项目(CS18ZD07);成都师范学院校级教改一般项目(2020JG38)。

摘　　要：探究一例由Riemann积分给出的数列考研问题的解法,并将部分所得的研究结论从Riemann积分给出数列的情形推广到Riemann-Stieltjes积分给出数列的情形。Different methods were investigated to solve an NEEP(National Entrance Examination for Postgraduate) problem concerning a sequence defined by Riemann’s integral, namely, the 19 th problem of 2018’s NEEP mathematics test Ⅰ. Some newly obtained results were generalized from the Riemann’s integral case to the Riemann-Stieltjes integral case.

关 键 词：考研数学 数列极限 RIEMANN积分 RIEMANN-STIELTJES积分 HOLDER不等式 

分 类 号：G642.0[文化科学—高等教育学] O172.2[文化科学—教育学]