On the notion of a function of bounded variation and of Riemann-Stieltjes integral with strong partitions on hyperbolic intervals

被引：0
作者：
Sanchez, Gamaliel Yafte Tellez [1 ]
Reyes, Juan Bory [2 ]
机构：
[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Av Inst Politecn Nacl, Ciudad de Mexico 07338, Mexico
[2] Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Av Inst Politecn Nacl, Ciudad de Mexico 07338, Mexico
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2025年 / 31卷 / 01期
关键词：
Hyperbolic numbers; Partitions; Function of bounded variation; Riemann-Stieltjes integral;
D O I：
10.1007/s40590-024-00690-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：16
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