Solution by step functions of a minimum problem in L2[0,T], using generalized h- and g-indices

作者：

Highlights：

• 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).

摘要

•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).

论文关键词：Decreasing differentiable functions,Generalized h-indices,Generalized g-indices,Lotkaian informetrics,Power laws,Step functions

论文评审过程：Received 1 April 2019, Revised 17 June 2019, Accepted 26 June 2019, Available online 11 July 2019, Version of Record 11 July 2019.

论文官网地址：https://doi.org/10.1016/j.joi.2019.06.002