Symmetric Differentiation on Time Scales
Classical Analysis and ODEs
2012-10-24 v1
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.
Keywords
Cite
@article{arxiv.1209.2094,
title = {Symmetric Differentiation on Time Scales},
author = {Artur M. C. Brito da Cruz and Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1209.2094},
year = {2012}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Applied Mathematics Letters. Submitted 30-Jul-2012; revised 07-Sept-2012; accepted 10-Sept-2012