A theory of pointwise defined impact measures
2021
ABSTRACT 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.
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