Discrete Calculus of Finite Sequences

2016/06/07 by Sérgio Martins Filho, Filho, Sérgio Martins
Computer Science · Mathematics · #46S30 #97N70 #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #cs.DM #math.FA #msc:46S30 #msc:97N70

paper · pdf · doi:10.48550/arxiv.1606.02182

17 pages

arxiv created 2018/11/03 · arxiv updated 2018/11/06

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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