# Article

**Keywords:**

RKP shape function; wavelets

**Summary:**

Solution of a boundary value problem is often realized as the application of the
Galerkin method to the weak formulation of given problem. It is possible to generate a trial space by means of splines or by means of functions that are not polynomial and have compact support. We restrict our attention only to RKP shape functions and compactly supported wavelets. Common features and comparison
of approximation properties of these functions will be studied in the contribution.