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On extreme first return path derivatives

In: Mathematica Slovaca, vol. 52, no. 1
Aliasghar Alikhani-Koopaei

Details:

Year, pages: 2002, 19 - 29
About article:
It is shown that the right (left) first return systems of paths are right (left) continuous and the extreme first return path derivatives of functions in $Bα$ (Borel measurable functions, Lebesgue measurable functions) are elements of $Bα+2$ (Borel measurable, Lebesgue measurable). It is also shown that even though the return path systems are the thinnest possible in a bilateral sense, the extreme first return path derivatives of continuous functions have some similarities with their Dini derivatives. We also provide an example illustrating that the extreme first return derivatives are not identical with their corresponding Dini derivatives.
How to cite:
ISO 690:
Alikhani-Koopaei, A. 2002. On extreme first return path derivatives. In Mathematica Slovaca, vol. 52, no.1, pp. 19-29. 0139-9918.

APA:
Alikhani-Koopaei, A. (2002). On extreme first return path derivatives. Mathematica Slovaca, 52(1), 19-29. 0139-9918.