Fredholm equations of the first kind
The paper deals with solving the Fredholm integral equation of the first kind \[ \int_Y K(x,y)g(y)dy= f(x),\quad x\in X,\quad y\in Y\tag{1} \] by passing to the moment \(L\)-problem. The authors give the construction of the linear programming problem to find an approximate solution of problem (1) in the space \(L_\infty\).
scientific article; zbMATH DE number 1102029