Abstract. The existence of a generalized Gaussian Birkhoff quadrature formula is shown for incidence matrices of pyramidal structure which contain no odd non-bottom sequence in the interior rows. It extends a result of Dyn and Jetter in [2].

AMS Subject Classification (1991): 41A55; 65D32

Keyword(s): Birkhoff interpolation, Gaussian quadrature formula

Received March 29, 1994. (Registered under 5610/2009.)