ScholarLens Back to search
2010•Real Analysis ExchangeOpen access

Characterizations of an Indefinite Riemann Integral

Brian S. Thomson

Open full text 5 citations

Abstract

What are necessary and sufficient conditions in order that a function may be an indefinite integral in the Riemann sense? The problem has been explicitly posed in a short note [3] published by Erik Talvila in 2008 in THIS EXCHANGE. Since neither Erik nor I have been able to find a solution in the literature I propose the following solution which is the sole subject of the paper.

Open-access reader

About this research paper

What this paper is about

What are necessary and sufficient conditions in order that a function may be an indefinite integral in the Riemann sense? The problem has been explicitly posed in a short note [3] published by Erik Talvila in 2008 in THIS EXCHANGE. Since neither Erik nor I have been able to find a solution in the literature I propose the following solution which is the sole subject of the paper.

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

What are necessary and sufficient conditions in order that a function may be an indefinite integral in the Riemann sense? The problem has been explicitly posed in a short note [3] published by Erik Talvila in 2008 in THIS EXCHANGE. Since neither Erik nor I have been able to find a solution in the literature I propose the following solution which is the sole subject of the paper.

Key concepts: Mathematics, Riemann integral, Riemann hypothesis, Daniell integral, Order (exchange), Calculus (dental), Pure mathematics, Riemann sum

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Characterizations of an Indefinite Riemann Integral — Research Paper | ScholarLens