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arXiv · 1606.02182

Discrete Calculus of Finite Sequences

Sérgio Martins Filho
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Abstract

The calculus of finite differences is a solid foundation for the development of operations such as the derivative and the integral for infinite sequences. Here we showed a way to extend it for finite sequences. We could then define convexity for finite sequences and some related concepts. To finalize, we propose a way to go from our extension to the calculus of finite differences.

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Sérgio Martins Filho. 2016-06-07. Discrete Calculus of Finite Sequences. https://arxiv.org/abs/1606.02182

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