Talk:Mean value theorem (divided differences)

Note: Relevant discussion can be found at Talk:Divided differences. -Elmer Clark 05:11, 28 November 2006 (UTC)

Here I give a mean value theorem of divided difference in terms of dd only that is without using derivative which is published in Mathematica Bohamica 2009.

Theorem: If

[f,x₀,x₁, ... ,x_n]<0<[f,y₀,y₁, ... ,y_n]

then there is z_i in [min{x_k,y_k,max{x_k,y_k] for i=1,2,...,n such that

[f,z₀,z₁, ... ,z_n]=0

Subhasis Ray

E-mail : subhasis.ray@visva-bharati.ac.in