ABSTRACT

In this chapter, interpolation from another perspective is studied. As we have already seen, each of the interpolation functions is examined in its own vector space, each of which has at least one basis. If we consider the nature of the interpolation problem, we can say that an interpolation function is obtained by quantifying and forming a system of linear equations. So, the discussion on operators on the spaces of interpolating functions and basis is necessary for approximation theory with the aspect of interpolating.