Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights

Authors:
S. B. Damelin;H. S. Jung
Affiliations:
Department of Mathematical Sciences, Georgia Southern Unirersity, P.O. Box 8093, Statesboro, GA;Division of Applied Mathematics, KAIST, 373-1 Kusongdong, Yusong Ku Taejon 305-701, South Korea
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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Abstract

For a general class of exponential weights on the line and on (-1, 1), we study pointwise convergence of the derivatives of Lagrange interpolation. Our weights include even weights of smooth polynomial decay near ±∞ (Freud weights), even weights of faster than smooth polynomial decay near ±∞ (Erdös weights) and even weights which vanish strongly near ±1, for example Pollaczek type weights.