# Search results for: S.B. Damelin

Journal of Complexity > 2009 > 25 > 2 > 152-162

Journal of Complexity > 2005 > 21 > 6 > 845-863

Journal of Computational and Applied Mathematics > 2005 > 173 > 2 > 303-319

Journal of Computational and Applied Mathematics > 2003 > 155 > 2 > 455-459

_{w}denotes the support of the equilibrium measure for w, then ||P ...

Journal of Complexity > 2003 > 19 > 3 > 406-415

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

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

Journal of Approximation Theory > 2001 > 113 > 1 > 21-58

_{p}(0<p<∞) convergence of Hermite and Hermite–Fejér interpolation polynomials of higher order at the zeros of Freud orthogonal polynomials on the real line. Our results cover as special cases Lagrange, Hermite–Fejér and Krylov–Stayermann interpolation polynomials.

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 > 132 > 2 > 357-369

Journal of Computational and Applied Mathematics > 1999 > 101 > 1-2 > 87-103

_{p}(1 =< p =< ~) with respect to a large class of exponential weights in (-1, 1) which include the classical Pollaczek weights. Along the way we prove Marchaud inequalities, saturation theorems, existence theorems for derivatives and generalize a theorem of D. Lubinsky.

Numerische Mathematik > 1999 > 83 > 1 > 87-105

Journal of Computational and Applied Mathematics > 1998 > 99 > 1-2 > 463-473

Journal of Approximation Theory > 1998 > 94 > 3 > 333-382

^{−Q}whereQis even and of faster than polynomial growth at ∞. For example, we can takeQ(x)≔expk(|x|α),k⩾1,α>0,x∈R,where exp

_{k}denotes thekth iterated exponential. We prove Jackson theorems in weightedL

_{p}spaces with norm ‖fW‖L

_{p}

_{(R)}for all 0<p⩽∞. These are the first proper Jackson theorems for Erdős weights even inL

_{∈}...

Journal of Approximation Theory > 1998 > 94 > 2 > 235-262

_{k,α}(x) ≔exp

_{k}(|x|

^{α}),α>1,k⩾1. Here exp

_{k}≔exp(exp(exp(…)))...

Journal of Approximation Theory > 1998 > 93 > 3 > 349-398

_{p}spaces with norm ‖fW‖L

_{p}

_{(R)}(0<p⩽∞) for Erdős weights on the real line. In particular we prove characterization theorems involving realization functionals and thereby establish some interesting properties of our weighted modulus of continuity.