Kriteria Cauchy Integral Riemann di Ruang Riesz

In 2008, Boccuto and Candeloro [4] introduced a variant of Riemann integral for Riesz valued functions defined on an order interval in a Riesz space. In this paper, we present an equivalent definition and several Cauchy criterion versions of the integral. Furthermore, some applications of the Cauchy criterion are provided.

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Publication Details

Journal
Limits Journal of Mathematics and Its Applications
Published
2024-10-01
DOI
https://doi.org/10.12962/limits.v21i2.20482
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Kriteria Cauchy Integral Riemann di Ruang Riesz

Made Tantrawan, Muhammad Arifin Ilham, Jerrico Nugroho
Limits Journal of Mathematics and Its Applications
Algebraic and Geometric Analysis
article

Kriteria Cauchy Integral Riemann di Ruang Riesz

Made Tantrawan, Muhammad Arifin Ilham, Jerrico Nugroho
article en

Abstract

In 2008, Boccuto and Candeloro [4] introduced a variant of Riemann integral for Riesz valued functions defined on an order interval in a Riesz space. In this paper, we present an equivalent definition and several Cauchy criterion versions of the integral. Furthermore, some applications of the Cauchy criterion are provided.

Limits Journal of Mathematics and Its ApplicationsVol. 21(2)
Universitas Gadjah Mada (ID)
Openalex Percentile: Top 71%
Algebraic and Geometric Analysis
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