Path differentiation: further unification
Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 267-282.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A. M. Bruckner, R. J. O'Malley, and B. S. Thomson introduced path differentiation as a vehicle for unifying the theory of numerous types of generalized differentiation of real valued functions of a real variable. Part of their classification scheme was based on intersection properties of the underlying path systems. Here, additional light is shed on the relationships between these various types of path differentiation and it is shown how composite differentiation and first return differentiation fit in to this scheme.
DOI : 10.4064/fm-146-3-267-282

Udayan B. Darji 1 ; Michael J. Evans 1

1
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Udayan B. Darji; Michael J. Evans. Path differentiation: further unification. Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 267-282. doi : 10.4064/fm-146-3-267-282. http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-267-282/

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