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Some results on numerical divided difference formulas 被引量:4

Some results on numerical divided difference formulas
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摘要 The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived with their remainder expressions. The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived with their remainder expressions.
出处 《Science China Mathematics》 SCIE 2005年第11期1441-1450,共10页 中国科学:数学(英文版)
基金 supported by the National Natural Science Foundation of China(Grant No.10471128).
关键词 NUMERICAL divided difference remainder estinate functions of lower smoothness sufficiently SMOOTH functions super convergence numerical divided difference, remainder estimate, functions of lower smoothness, sufficiently smooth functions, super convergence.
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  • 1T. Dokken,T. Lyche.A divided difference formula for the error in Hermite interpolation[J].BIT.1979(4)

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