OPTIMAL ERROR BOUNDS FOR THE CUBIC SPLINE INTERPOLATION OF LOWER SMOOTH FUNCTION(Ⅱ)

被引:0
作者
YE MAODONG
机构
关键词
ERROR; CUBIC; BOUNDS; FOR; FUNCTION; INTERPOLATION; LOWER; OF; OPTIMAL; SMOOTH;
D O I
暂无
中图分类号
O212 [数理统计];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
OPTIMALERRORBOUNDSFORTHECUBICSPLINEINTERPOLATIONOFLOWERSMOOTHFUNCTION(Ⅱ)YEMAODONGAbstract.Inthispaper,byusingtheexplicitexpre...
引用
收藏
页码:103 / 110
页数:8
相关论文
共 50 条
[31]   Error bounds for polynomial tensor product interpolation [J].
Bernhard Mößner ;
Ulrich Reif .
Computing, 2009, 86 :185-197
[32]   Convergence and Gibbs' phenomenon in cubic spline interpolation of discontinuous functions [J].
Zhang, ZM ;
Martin, CF .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 87 (02) :359-371
[33]   Spline interpolation with optimal frequency spectrum for vibration avoidance [J].
Sencer, Burak ;
Dumanli, Alper ;
Yamada, Yuki .
CIRP ANNALS-MANUFACTURING TECHNOLOGY, 2018, 67 (01) :377-380
[34]   A Class of Cubic B-Spline Interpolation Curves with a Shape Parameter [J].
Yang, Lian ;
Li, Juncheng .
2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3, 2010, :1008-1011
[35]   Tri-cubic polynomial natural spline interpolation for scattered data [J].
Xu, Yingxiang ;
Yu, Gaohang ;
Guan, Lutai .
CALCOLO, 2012, 49 (02) :127-148
[36]   Tri-cubic polynomial natural spline interpolation for scattered data [J].
Yingxiang Xu ;
Gaohang Yu ;
Lutai Guan .
Calcolo, 2012, 49 :127-148
[37]   G2 Continuity Smooth Path Planning using Cubic Polynomial Interpolation with Membership Function [J].
Chang, Seong-Ryong ;
Huh, Uk-Youl .
JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY, 2015, 10 (02) :676-687
[38]   Optimal estimation of univariate black-box Lipschitz functions with upper and lower error bounds [J].
Zabinsky, ZB ;
Smith, RL ;
Kristinsdottir, BP .
COMPUTERS & OPERATIONS RESEARCH, 2003, 30 (10) :1539-1553
[39]   A Certified Cubic B-Spline Interpolation Method with Tangential Direction Constraints [J].
Shitao He ;
Liyong Shen ;
Qin Wu ;
Chunming Yuan .
Journal of Systems Science and Complexity, 2024, 37 :1271-1294
[40]   Description and Smoothing of NC Motion Path Based on the Cubic Trigonometric Interpolation spline [J].
Tao, Jianming ;
Song, Aiping ;
Yi, Danping .
MACHINE DESIGN AND MANUFACTURING ENGINEERING II, PTS 1 AND 2, 2013, 365-366 :515-521