A general theory of minimal increments for Hirsch-type indices and applications to the mathematical characterization of Kosmulski-indices

被引：0

作者：

Egghe, L. ^{[1
,2
]}

机构：

[1] Univ Hasselt, B-3590 Diepenbeek, Belgium

[2] Univ Antwerp, IBW, B-2000 Antwerp, Belgium

来源：

MALAYSIAN JOURNAL OF LIBRARY & INFORMATION SCIENCE | 2014年 / 19卷 / 03期

关键词：

Increment; Hirsch-type index; Kosmulski-index;

D O I：

暂无

中图分类号：

G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];

学科分类号：

1205 ; 120501 ;

摘要：

For a general function f (n) (n = 1,2,...), defining general Hirsch-type indices, we can characterize the first increment I-1 (n) = (n + 1) f (n + 1) - nf(n) as well as the second increment I-2 (n) = I-1 (n + 1) - I-1 (n + 1). An application is given by presenting mathematical characterizations of Kosmulski-indices.

引用

页码：41 / 49

页数：9

共 11 条

[1] Hirsch-type indices for characterizing networks
Schubert, Andras
Korn, Andras
Telcs, Andras
[J]. SCIENTOMETRICS, 2009, 78 (02) : 375 - 382
[2] Hirsch-type indices for characterizing networks
András Schubert
András Korn
András Telcs
[J]. Scientometrics, 2009, 78 : 375 - 382
[3] A systematic analysis of Hirsch-type indices for journals
Schubert, Andras
Glanzel, Wolfgang
[J]. JOURNAL OF INFORMETRICS, 2007, 1 (03) : 179 - 184
[4] Hirsch-type indices for ranking institutions' scientific research output
Prathap, Gangan
[J]. CURRENT SCIENCE, 2006, 91 (11): : 1439 - 1439
[5] MATHEMATICAL CHARACTERIZATIONS OF THE WU- AND HIRSCH- INDICES USING TWO TYPES OF MINIMAL INCREMENTS
Egghe, Leo
[J]. 14TH INTERNATIONAL SOCIETY OF SCIENTOMETRICS AND INFORMETRICS CONFERENCE (ISSI), 2013, : 1159 - 1169
[6] Properties of Hirsch-type indices: the case of library classification categories
Yuxian Liu
Ronald Rousseau
[J]. Scientometrics, 2009, 79 : 235 - 248
[7] Properties of Hirsch-type indices: the case of library classification categories
Liu, Yuxian
Rousseau, Ronald
[J]. SCIENTOMETRICS, 2009, 79 (02) : 235 - 248
[8] Hirsch-type indices and library management: The case of Tongji University Library
Liu, Yuxian
Rousseau, Ronald
[J]. PROCEEDINGS OF ISSI 2007: 11TH INTERNATIONAL CONFERENCE OF THE INTERNATIONAL SOCIETY FOR SCIENTOMETRICS AND INFORMETRICS, VOLS I AND II, 2007, : 514 - +
[9] A mathematical characterization of the Hirsch-index by means of minimal increments
Egghe, L.
[J]. JOURNAL OF INFORMETRICS, 2013, 7 (02) : 388 - 393
[10] Do Hirsch-type indices behave the same in assessing single publications? An empirical study of 29 bibliometric indicators
Yan, Zhenbin
Wu, Qiang
Li, Xingchen
[J]. SCIENTOMETRICS, 2016, 109 (03) : 1815 - 1833

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