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Symmetric differentiation on time scales |
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| Authors: | Artur M.C. Brito da Cruz Natália Martins Delfim F.M. Torres |
| Affiliation: | 1. Escola Superior de Tecnologia de Setúbal, Estefanilha, 2910-761 Setúbal, Portugal;2. Center for Research and Development in Mathematics and Applications, University of Aveiro, 3810-193 Aveiro, Portugal |
| Abstract: | We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined on time scales that are neither delta nor nabla differentiable can be symmetric differentiable. |
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