Title
Time-dependent Lotkaian informetrics incorporating growth of sources and items
Author
Faculty/Department
Faculty of Social Sciences. Instructional and Educational Sciences
Publication type
article
Publication
Oxford ,
Subject
Mathematics
Source (journal)
Mathematical and computer modelling. - Oxford
Volume/pages
49(2009) :1/2 , p. 31-37
ISSN
0895-7177
ISI
000260904100004
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In a previous article, static Lotkaian theory was extended by introducing a growth function for the items. In this article, a second general growth functionthis time for the sourcesis introduced. Hence this theory now comprises real growth situations, where items and sources grow, starting from zero, and at possibly different paces. The time-dependent size- and rank-frequency functions are determined and, based on this, we calculate the general, time-dependent, expressions for the h- and g-index. As in the previous article we can prove that both indices increase concavely with a horizontal asymptote, but the proof is more complicated: we need the result that the generalized geometric average of concavely increasing functions is concavely increasing.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/bdfd22/687a6194.pdf
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