# Journal of Computational and Applied Mathematics

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 > 2 > 225-240

^{6}-(8x

^{3}+4x

^{2}+x), where g(x)=(e/x)

^{x}Γ(1+x)/π, is studied. It is proved that on the interval (1,~) the function h(x) is increasing monotonically from h(1)=0.0111976... to h(~)=1/30=0.0333....

Journal of Computational and Applied Mathematics > 2001 > 137 > 1 > 71-76

_{p}(0<p<~) for Erdos weights.