Let 𝓟 be an ideal of closed subsets of a T₁ topological space X. Suppose C(X)𝓟 is the ring of all real-valued functions on X whose closure of discontinuity set is a member of 𝓟. We investigate a ...
Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...