Title: Discrete Sobolev and Poincare inequalities via Fourier series
Authors: Susanne C. Brenner and Li-yeng Sung
Published: East-West Journal of Numerical Mathematics
v. 8 (2000), 83--92 (MR# 2001g:42003)
Abstract: Discrete Sobolev and Poincare inequalities for finite element
functions are derived and proved to be sharp via Fourier series.