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arXiv · 1209.2094

Symmetric Differentiation on Time Scales

Artur M. C. Brito da Cruz·Natalia Martins·Delfim F. M. Torres
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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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Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres. 2012-09-10. Symmetric Differentiation on Time Scales. https://doi.org/10.1016/j.aml.2012.09.005

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