<abstract xmlns="http://www.w3.org/1999/xhtml">

<sec><h3>Purpose</h3><p>A new point of view in the study of impact is introduced.</p></sec>
<sec><h3>Design/methodology/approach</h3><p>Using fundamental theorems in real analysis we study the convergence of well-known impact measures.</p></sec>
<sec><h3>Findings</h3><p>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.</p></sec>
<sec><h3>Research limitations</h3><p>As for all impact studies, it is just impossible to study all measures in depth.</p></sec>
<sec><h3>Practical implications</h3><p>It is proposed to include convergence properties in the study of impact measures.</p></sec>
<sec><h3>Originality/value</h3><p>This article is the first to present a bundle classification based on convergence properties of impact bundles.</p></sec>
</abstract>

PurposeA new point of view in the study of impact is introduced.
Design/methodology/approachUsing fundamental theorems in real analysis we study the convergence of well-known impact measures.
FindingsWe 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 limitationsAs for all impact studies, it is just impossible to study all measures in depth.
Practical implicationsIt is proposed to include convergence properties in the study of impact measures.
Originality/valueThis article is the first to present a bundle classification based on convergence properties of impact bundles.

Convergence of Impact Measures and Impact Bundles

Journal of Data and Information Science

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Convergence of Impact Measures and Impact Bundles"}

PurposeA new point of view in the study of impact is introduced.
Design/methodology/approachUsing fundamental theorems in real analysis we study the...

Convergence of Impact Measures and Impact Bundles

Article Category: Research Paper

Published Online: Jul 16, 2022

Page range: 5 - 19

Received: May 23, 2022

Accepted: Jun 30, 2022

DOI: https://doi.org/10.2478/jdis-2022-0014

Keywords
Pointwise and uniform convergence of impact measures and bundles, Second Dini theorem, Arzelà’s theorem, Bundle classification, Generalized h- and g-indices, percentiles

© 2022 Leo Egghe, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Convergence of Impact Measures and Impact Bundles

Article Category: Research Paper

Published Online: Jul 16, 2022

Page range: 5 - 19

Received: May 23, 2022

Accepted: Jun 30, 2022

DOI: https://doi.org/10.2478/jdis-2022-0014

KeywordsPointwise and uniform convergence of impact measures and bundles, Second Dini theorem, Arzelà’s theorem, Bundle classification, Generalized h- and g-indices, percentiles

© 2022 Leo Egghe, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Keywords
Pointwise and uniform convergence of impact measures and bundles, Second Dini theorem, Arzelà’s theorem, Bundle classification, Generalized h- and g-indices, percentiles