Optimal spline spaces for $L^2$ $n$-width problems with boundary conditions (1709.02710v4)

Abstract: In this paper we show that, with respect to the $L^2$ norm, three classes of functions in $H^r(0,1)$, defined by certain boundary conditions, admit optimal spline spaces of all degrees $\geq r-1$, and all these spline spaces have uniform knots.