Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights
نویسندگان
چکیده
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 AMS(MOS) Classification: 41A10, 42C05.
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