Search

• Generalized h- and g-indices are studied. • It is shown that the h-index is a special case of the g-index. • These indices are applied to solve a minimum problem in L2. • Using step functions, this minimum problem is solved for decreasing functions. • Results are applied to the case of Lotkaian informetrics (Zipf, Lotka). In this article we solve a minimum problem involving step functions. The solution of this problem leads to an investigation into generalized h- and g-indices. This minimum problem and the related generalized h- and g-indices are studied in a general context of decreasing differentiable functions as well as in the specific case of Lotkaian informetrics. The study illustrates the use of h-and g-indices and their generalizations in a context which bears no relation to the research evaluation context in which these indices were originally introduced. [ABSTRACT FROM AUTHOR]

• We define pointwise defined impact measures • We characterize these measures, including giving a formula for them • We show that these measures are complete evaluation systems (but not reversely) • Well-known impact measures are investigated on their pointwise definedness This paper studies pointwise defined impact measures and gives a mathematical characterization of such measures. We show when such measures are complete evaluation systems in the sense that they determine the function itself. Based on these results, the classical (generalized) h-index, g-index, R-index and μ-index are investigated. It is shown that they can be pointwise defined on an appropriate set of functions. [ABSTRACT FROM AUTHOR]