Journal of Data and Information Science ›› 2022, Vol. 7 ›› Issue (3): 5-19.doi: 10.2478/jdis-2022-0014

• Research Paper • Previous Articles     Next Articles

Convergence of Impact Measures and Impact Bundles

Leo Egghe()   

  1. Hasselt University, Campus Diepenbeek, Diepenbeek 3590, Belgium
  • Received:2022-05-23 Revised:2022-06-30 Accepted:2022-06-30 Online:2022-07-20 Published:2022-07-29
  • Contact: Leo Egghe


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 the µ-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.

Key words: Pointwise and uniform convergence of impact measures and bundles, Second Dini theorem, Arzelà's theorem, Bundle classification, Generalized h- and g-indices, percentiles