The aim of this paper is to formulate the best version of the Fundamental theorem of Calculus for real functions on a fractal subset of the real line. In order to do that an integral of Henstock-Kurzweil type is introduced.
Bongiorno, D., Corrao, G. (2015). On the Fundamental theorem of Calculus for fractal sets. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 23(2) [10.1142/S0218348X15500085].
On the Fundamental theorem of Calculus for fractal sets
BONGIORNO, Donatella
;CORRAO, Giuseppa
2015-01-01
Abstract
The aim of this paper is to formulate the best version of the Fundamental theorem of Calculus for real functions on a fractal subset of the real line. In order to do that an integral of Henstock-Kurzweil type is introduced.
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