Error formulas for divided difference expansions and numerical differentiation

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چکیده

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Error formulas for divided difference expansions and numerical differentiation

Here, and throughout the paper, we will assume that x0 ≤ x1 ≤ . . . ≤ xn are arbitrarily spaced real values and x is any real value in the interval [x0, xn]. We refer the reader to Conte and de Boor [1 ] for basic properties of divided differences. Two things are required: evaluation of the coefficients ck; and a bound on the remainder term Rp in terms of the maximum grid spacing h := max 0≤i≤n...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2003

ISSN: 0021-9045

DOI: 10.1016/s0021-9045(03)00025-x