Interpolated sub-impact factor (SIF) sequences for journal rankings

• ISIF is proposed for measuring journal's contribution to knowledge accumulation.
• It appears that anomalies cannot happen anymore in the interpolated approach (ISIF).
• The empirical study shows that ISIF gives rankings closer to some experts' opinions.

In a previous publication the journal sub-impact factor denoted as SIF, and derived sub-impact sequences have been introduced. Their calculation included a discrete step. Now we adapt this scheme to include an interpolation procedure. A mathematical proof is given showing that anomalies that may happen in the discrete approach cannot happen anymore in the interpolated approach.