Discrete Calculus of Finite Sequences
Discrete Mathematics
2018-11-06 v9 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1606.02182,
title = {Discrete Calculus of Finite Sequences},
author = {Sérgio Martins Filho},
journal= {arXiv preprint arXiv:1606.02182},
year = {2018}
}
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17 pages