A general theory of minimal increments for Hirsch-type indices and applications to the mathematical characterization of Kosmulski-indices
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Abstract
Egghe, L. (2014). A general theory of minimal increments for Hirsch-type indices and applications to the mathematical characterization of Kosmulski-indices. Malaysian Journal of Library & Information Science, Vol.19, no. 3: 41-49.
For a general function f (n) (n =1,2, ...) , defining general Hirsch-type indices, we can characterize the first increment I1 (n) = (n +1) f (n +1) − nf (n) as well as the second increment I2 (n) = I1 (n +1) − I1 (n1 +1). An application is given by presenting mathematical characterizations of Kosmulski-indices.
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