{"title":"影响测度和影响束的收敛性","authors":"L. Egghe","doi":"10.2478/jdis-2022-0014","DOIUrl":null,"url":null,"abstract":"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. Originality/value This article is the first to present a bundle classification based on convergence properties of impact bundles.","PeriodicalId":92237,"journal":{"name":"Journal of data and information science (Warsaw, Poland)","volume":"7 1","pages":"5 - 19"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Convergence of Impact Measures and Impact Bundles\",\"authors\":\"L. Egghe\",\"doi\":\"10.2478/jdis-2022-0014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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. Originality/value This article is the first to present a bundle classification based on convergence properties of impact bundles.\",\"PeriodicalId\":92237,\"journal\":{\"name\":\"Journal of data and information science (Warsaw, Poland)\",\"volume\":\"7 1\",\"pages\":\"5 - 19\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of data and information science (Warsaw, Poland)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/jdis-2022-0014\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of data and information science (Warsaw, Poland)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/jdis-2022-0014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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. Originality/value This article is the first to present a bundle classification based on convergence properties of impact bundles.