An integral analog of the Leibniz rule for the operators of fractional calculus was considered in paper [1]. These operators are known to belong to the class of convolution transforms [2]. It seems very natural to try to obtain some new integral analog of the Leibniz rule for other convolution operators. We have found a general method for constructing such integral analogs on the base of notion of G-convolution [4]. Several results obtained by this method are represented in this article.
@article{urn:eudml:doc:39930,
title = {The generalizations of integral analog of the Leibniz rule on the G-convolutions.},
journal = {Extracta Mathematicae},
volume = {6},
year = {1991},
pages = {119-122},
mrnumber = {MR1185356},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39930}
}
Yakubovich, Semyon B.; Luchko, Yurii F. The generalizations of integral analog of the Leibniz rule on the G-convolutions.. Extracta Mathematicae, Tome 6 (1991) pp. 119-122. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39930/