English

Convergence of impact measures and impact bundles

General Mathematics 2023-04-21 v1

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 μ\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.

Keywords

Cite

@article{arxiv.2304.10473,
  title  = {Convergence of impact measures and impact bundles},
  author = {Leo Egghe},
  journal= {arXiv preprint arXiv:2304.10473},
  year   = {2023}
}