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Some results on numerical divided difference formulas

查看全文 作  者:Wang Xinghua,Wang Heyu & Ming-Jun Lai Department of Mathematics, Zhejiang University, Hangzhou 310028, China;Computing Center, Zhejiang University, Hangzhou 310012, China;Department of Mathematics, University of Georgia, Athens, GA 30602-7403, USA 高影响力作者 出  处:《Science China Mathematics》索引2005年第48卷第11期,共10页高影响力期刊 基  金:supported by the National Natural Science Foundation of China(Grant No.10471128). 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. 关 键 词:NUMERICAL divided difference,remainder estinate,functions of lower smoothness,sufficiently SMOOTH functions,super convergence
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