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Integral form of divided differences

โœ Scribed by K. J. Overholt


Publisher
Springer Netherlands
Year
1973
Tongue
English
Weight
111 KB
Volume
13
Category
Article
ISSN
0006-3835

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A divided difference expansion with remainder for a general divided difference is derived that contains Floater's recent derivative expansion as a special case.

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We define means in n variables by taking the intersection point in R n of n osculating hyperplanes to a given curve in R n . These planes are the natural extensions of the osculating plane in R 3 . More precisely, let C be a curve in R n , and let 0a -ะธะธะธa -ฯฑ. Let O be the osculating hyperplane to C