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.

引用

页数：16

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