Convergence of Impact Measures and Impact Bundles  

作　　者：Leo Egghe 

机构地区：[1]Hasselt University,Campus Diepenbeek,Diepenbeek 3590,Belgium

出　　处：《Journal of Data and Information Science》2022年第3期5-19,共15页数据与情报科学学报（英文版）

基　　金：The author thanks Li Li(National Science Library,CAS)for drawing Figure 1.

摘　　要：Purpose:A new point of view in the study of impact is introduced.Design/methodology/approach:Using fundamental theorems in real analysis we study the convergence of well-known impact measures.Findings:We show that pointwise convergence is maintained by all well-known impact bundles(such as the h-,g-,and R-bundle)and that theμ-bundle even maintains uniform convergence.Based on these results,a classification of impact bundles is given.Research limitations:As for all impact studies,it is just impossible to study all measures in depth.Practical implications:It is proposed to include convergence properties in the study of impact measures.Originality/value:This article is the first to present a bundle classification based on convergence properties of impact bundles.

关 键 词：Pointwise and uniform convergence of impact measures and bundles Second Dini theorem Arzelà’s theorem Bundle classification Generalized h-and g-indices PERCENTILES 

分 类 号：O174.12[理学—数学]