Search results for "Laplace derivative"

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MR3136896 Reviewed Ray, S.; Garai, A. The Laplace derivative II. Math. Student 81 (2012), no. 1-4, 177–184. (Reviewer: Pasquale Vetro) 26A24

2014

In a previous paper [Part I, Math. Student 81 (2012), no. 1-4, 171–175; MR3136895], the authors studied some properties of the first-order Laplace derivative. In this paper they study some properties of higher-order Laplace derivatives and give an analogue of Taylor's theorem using higher-order Laplace derivatives.

Settore MAT/05 - Analisi MatematicaLaplace derivativeTaylor's Theorem
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MR3136895 Reviewed Ray, S.; Garai, A. The Laplace derivative. Math. Student 81 (2012), no. 1-4, 171–175. (Reviewer: Pasquale Vetro) 26A24

2014

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.

Settore MAT/05 - Analisi MatematicaRolle's TheoremLaplace derivativeDarboux's Theorem
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