how do the weights for k_ring_smoothing work

I tried to understand the source code but struggle sorry. Let use say my (geo)pandas df has 2 stats: S1 + S2 does the application of the weights depend on the order of these stats - so let us say the weights are [0.3, 0.7] where 0.3 is applied to S1 and 0.7 to S2? Ultimately, the weights apply a linear combination (?) to the stats in the vicinity (defined by k) of the hexagon. Is this correct?