Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights

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Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights

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 ±∞ (Erdős weights) and even weights which vanish strongly near ±1, for example Pollaczek type weights. 1991...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2004

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(04)00162-1