It is shown that the Ritz projection onto spaces of piecewise linear finite elements is bounded in the Sobolev space, $\overset{\circ}{W}_p^1$, for $2 \leqslant p \leqslant \infty$. This implies that ...

In this paper, we investigate the use of the empirical distribution function in place of the underlying distribution function F to construct an empirical saddlepoint approximation to the density f n ...

Over recent decades, approximation theory has evolved to incorporate sophisticated operator-based techniques that extend classical sampling methods. Central to these developments is the use of ...