THE OPTIMAL NUMERICAL PRIMITIVE FUNCTION IN THE SPACE W_2~1
W_2~1空间中的最佳数值原函数

By means of the regenerate kernel and the Schmidt orthorgonalization, a method for find-ing the numerical primitive function of a given function in the space W_2~1a, b] is constructed.The uniform convergence of the approximateprimitive function to the exact one as the nodesbecome dense in a, b] is also proved. The presented method is particularly applicable to largesystems of nodes. For small and medium scale systems of nodes, the corresponding results canstill be satisfactory because of a certain optimality of the numerical primitive function.