I see "ArcGIS" is a tag, Jakub. Using Spatial Analyst you would simply compute a weighted average of the two hillshades. E.g., the 60-40 mixture could be generated with a calculation like this:
(60*[Detailed hillshade] + 40*[Generalized hillshade]) / 100
(60*[Detailed hillshade] + 40*[Generalized hillshade]) / 100
If you need it, the Gaussian blur can be executed by running a few circular focal means over a raster. The effective radius of doing m focal means, each of radius r, is r * Sqrt(m).