• Research Paper •

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 E-mail:blund2@g.emporia.edu

Abstract:

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.