An Interpolation formula also sometimes known as

(1) |

(2) | |||

(3) | |||

(4) | |||

(5) |

where are the Coefficients from Gauss's Backward Formula and Gauss's Forward Formula and and are the Coefficients from Everett's Formula. The s also satisfy

(6) | |||

(7) |

for

(8) |

**References**

Abramowitz, M. and Stegun, C. A. (Eds.).
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, p. 880, 1972.

Acton, F. S. *Numerical Methods That Work, 2nd printing.* Washington, DC: Math. Assoc. Amer., pp. 90-91, 1990.

Beyer, W. H. *CRC Standard Mathematical Tables, 28th ed.* Boca Raton, FL: CRC Press, p. 433, 1987.

© 1996-9

1999-05-26