In this paper the authors consider the Laplace derivative of a real function of a real variable introduced by R. E. Svetic [Comment. Math. Univ. Carolin. 42 (2001), no. 2, 331–343; MR1832151 (2002d:26008)]. The aim of this paper is to study the properties of the first-order Laplace derivative. They also prove Rolle's theorem, Darboux's theorem and other such theorems for the Laplace derivative.
Vetro, P. (2014). MR3136895 Reviewed Ray, S.; Garai, A. The Laplace derivative. Math. Student 81 (2012), no. 1-4, 171–175. (Reviewer: Pasquale Vetro) 26A24.
MR3136895 Reviewed Ray, S.; Garai, A. The Laplace derivative. Math. Student 81 (2012), no. 1-4, 171–175. (Reviewer: Pasquale Vetro) 26A24
VETRO, Pasquale
2014-01-01
Abstract
In this paper the authors consider the Laplace derivative of a real function of a real variable introduced by R. E. Svetic [Comment. Math. Univ. Carolin. 42 (2001), no. 2, 331–343; MR1832151 (2002d:26008)]. The aim of this paper is to study the properties of the first-order Laplace derivative. They also prove Rolle's theorem, Darboux's theorem and other such theorems for the Laplace derivative.
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