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Title: | Convergence of Impact Measures and Impact Bundles | Authors: | EGGHE, Leo | Issue Date: | 2022 | Publisher: | SCIENDO | Source: | Journal of Data and Information Science (Warsaw), 7 (3) , p. 5 -19 | Status: | Early view | 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 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/value: This article is the first to present a bundle classification based on convergence properties of impact bundles. | Notes: | Egghe, L (corresponding author), Hasselt Univ, Campus Diepenbeek, B-3590 Diepenbeek, Belgium. leo.egghe@uhasselt.be |
Keywords: | Pointwise and uniform convergence of impact measures and bundles;Second Dini theorem;Arzela's theorem;Bundle classification;Generalized h- and g-indices;percentiles | Document URI: | http://hdl.handle.net/1942/37899 | ISSN: | 2096-157X | e-ISSN: | 2543-683X | DOI: | 10.2478/jdis-2022-0014 | ISI #: | 000827179100001 | Rights: | 2022 Leo Egghe, published by Sciendo This work is licensed under the Creative Commons Attribution 4.0 International License. This is an open access article under the CC-BY license (https://creativecommons.org/licenses/by/4.0/). | Category: | A1 | Type: | Journal Contribution | Validations: | vabb 2024 |
Appears in Collections: | Research publications |
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5-Leo Egghe.indd.pdf | Published version | 643.1 kB | Adobe PDF | View/Open |
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