Necessary conditions of convergence of Hermite--Fejér interpolation polynomials for exponential weights

Authors:
H. S. Jung
Affiliations:
Division of Applied Mathematics, KAIST, 373-1 Kusongdong, Yusongku Taejon 305-701, Republic of Korea
Venue:
Journal of Approximation Theory
Year:
2005

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Abstract

This paper gives the conditions necessary for weighted convergence of Hermite-Fejer interpolation for a general class of even weights which are of exponential decay on the real line or at the end points of (-1,1). The results of this paper guarantee that the conditions of Theorem 2.3 in [11] are optimal.