N-Functions and integration by substitution
Copyright policy )N-Functions and integration by substitution
By use of a new result concerning the validity of the chain rule for the derivative of a composite function, the author succeeds in extending the classical change of variable formula for Lebesgue and Denjoy/Perron integrals to the case in which the change is effected by continuousN-functions of unbounded variation. A novelty of the resulting formula is that the integration is only carried out over the set where theN-function is differentiable, and that set may fail to have full measure, as an example shows.
- University of Florence Italy
N- functions, change of variable formula for Lebesgue and Denjoy-Perron integrals, Denjoy and Perron integrals, other special integrals, Integrals of Riemann, Stieltjes and Lebesgue type
N- functions, change of variable formula for Lebesgue and Denjoy-Perron integrals, Denjoy and Perron integrals, other special integrals, Integrals of Riemann, Stieltjes and Lebesgue type
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