arXiv subjects

Gamaliel Tellez-Sanchez

Publications and source records attributed to Gamaliel Tellez-Sanchez.

2 recordsLinked to original sources

arXiv2023

On the Notion of a Function of Bounded Variation and of Riemann-Stieltjes Integral with Strong Partitions on Hyperbolic Intervals

In this paper we provided a classification for partitions of intervals on the hyperbolic plane. Given a partition, to be named strong, we define a notion of a hyperbolic-valued functions of bounded variation and a kind of Riemann-Stieltjes integral. A condition relating to both concepts appears to be natural for the existence of the integral, as it occurs in real analysis.

math.CV↗

arXiv2020

Extensions of the Shannon Entropy and the Chaos Game Algorithm to Hyperbolic Numbers Plane

In this paper we provide extensions to hyperbolic numbers plane of the classical Chaos game algorithm and the Shannon entropy. Both notions connected with that of probability with values in hyperbolic number, introduced by D. Alpay et al \cite{eluna}. Within this context, particular attention has been paid to the interpretation of the hyperbolic valued probabilities and the hyperbolic extension of entropy as well.

math.DS↗