<A>_w \, = \frac{  \int_{t_0}^t A(t) \, \mathrm{w}(t) \, dt }{\int_0^{t_0} \, \mathrm{w}(t) \, dt }

where

time-line

initial time

time-based variable

weighting function


See also


Formal science / Mathematics / Calculus

[ t-weighted average ]