The more you want to calculate at query time, the more you want views, calculated columns and stored or user routines. The more you want to calculate at normalized base update time, the more you want cascades and triggers. The more you want to calculate at some other (scheduled or ad hoc) time, the more you use snapshots aka materialized views and updated denormalized bases. You can combine these. Any time the database is accessed it can be enabled by and restricted by stored routines or other api.

Until you can show that they are in adequate, views and calculated columns are the simplest.

The whole idea of a DBMS is to store a representation of your application state as the database (which normalization reduces the redundancy of) and then you query and let the DBMS implement and optimize calculation of the answer. You haven't presented a reason for not doing that in the most straightforward way possible.