Title of article :
Necessary Conditions forLpConvergence of Lagrange Interpolation on an Arbitrary System of Nodes Original Research Article
Author/Authors :
Ying Guang Shi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1996
Abstract :
This paper gives powerful necessary conditions for convergence of Lagrange interpolation on an arbitrary system of nodes inLp(dα) withdαbelonging to the Szegőʹs class. This provides a partial answer to Problem XI of P. Turán [J. Approx. Theory29(1980), 33–34]. It is shown that in this case the asymptotics of distribution of the nodes must behave like the power asymptotics.
Journal title :
Journal of Approximation Theory
Journal title :
Journal of Approximation Theory