Convergence of impact measures and impact bundles

Abstract

Purpose: A new point of view in the study of impact is introduced. 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 $\mu$-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: This article is the first to present a bundle classification based on convergence properties of impact bundles.