# Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics > 2001 > 130 > 1-2 > 293-307

Journal of Computational and Applied Mathematics > 2001 > 132 > 2 > 357-369

Journal of Computational and Applied Mathematics > 2001 > 133 > 1-2 > 445-454

_{n}[f] be the nth partial sum of the orthonormal polynomials expansion with respect to a Freud weight. Then we obtain sufficient conditions for the boundedness of S

_{n}[f] and discuss the speed of the convergence of S

_{n}[f] in weighted L

^{p}space. We also find sufficient conditions for the boundedness of the Lagrange interpolation polynomial L

_{n}[f], whose...

Journal of Computational and Applied Mathematics > 2001 > 133 > 1-2 > 277-282

_{k}

_{,}

_{α}(x) exp(-exp

_{k}(|x|

^{α})),α>1. We obtain a necessary and sufficient condition for mean convergence of Lagrange interpolation for such weights in L

_{p}(0<p=<1) completing earlier investigations by the first author and D.S. Lubinsky in L

_{p}(1<p<~).

Journal of Computational and Applied Mathematics > 2001 > 135 > 1 > 91-109

^{1}norm are proved. The constant in the estimate depends ''weakly'' (improving the results given in Duran (Math. Comp. 68 (1999) 187-199) on the uniformity of the mesh in each direction. For tetrahedra, the constant also depends on the maximum angle of the element. On the other...