论文信息 - Optimal error bounds for the derivatives of two point hermite interpolation - 字舞流文

Optimal error bounds for the derivatives of two point hermite interpolation

Abstract For the derivatives of the Hermite polynomial interpolation of a function on the interval [ a , b ] we obtain best possible uniform error estimates. For this, a new representation for the error function is developed.

Ravi P. Agarwal | Patricia J. Y. Wong | R. Agarwal | P. J. Wong | R. Agarwal

[1] R. Agarwal,et al. Some Inequalities for a Function having n Zeros , 1983 .

[2] P. G. Ciarlet,et al. Numerical methods of high-order accuracy for nonlinear boundary value Problems , 1968 .

[3] Gary W. Howell,et al. Best error bounds for derivatives in two point Birkhoff interpolation problems , 1983 .

[4] C. A. Hall,et al. On error bounds for spline interpolation , 1968 .

[5] Ravi P. Agarwal,et al. Boundary value problems for higher order differential equations , 1986 .

[6] R. Agarwal,et al. Sharp Hermite interpolation error bounds for derivatives , 1991 .

[7] A. K. Varma,et al. Optimal error bounds for hermite interpolation , 1987 .

[8] Garrett Birkhoff,et al. Hermite Interpolation Errors for Derivatives , 1967 .