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Архив публикацийТезисыXIX-ая конференцияThe role of smoothness in approximation by lagrange interpolantsMATRI ASHRAM, COURT ROAD, JAMTARA JHARKHAND, PIN-815351, INDIA, singhsn@live.in 1 стр. (принято к публикации)Considering Lagrange interpolating polynomial Ln-1(f,x)of a smooth function defined on uniform partition of a given mesh we shall show that the interpolant does not converge to the function which has nice mathematical properties of approximation. The (c, k) mean of Ln-1(f2, x)is also not convergent for any k. |