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arxiv: 1209.2094 · v1 · pith:BQZ64U43new · submitted 2012-09-10 · 🧮 math.CA

Symmetric Differentiation on Time Scales

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keywords symmetricdifferentiablescalestimearbitrarycloseddefinedefined
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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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