1991Mathematics of ComputationOpen access

Uniform Convergence Results for Cauchy Principal Value Integrals

Philip Rabinowitz

Open full text 2 citations

Abstract

A general uniform convergence theorem for numerical integration of Cauchy principal value integrals is proved. Seven special instances of this theorem are given as corollaries.

Open-access reader

About this research paper

What this paper is about

A general uniform convergence theorem for numerical integration of Cauchy principal value integrals is proved. Seven special instances of this theorem are given as corollaries.

Why it matters

OpenAlex reports 2 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

A general uniform convergence theorem for numerical integration of Cauchy principal value integrals is proved. Seven special instances of this theorem are given as corollaries.

Key concepts: Mathematics, Cauchy principal value, Cauchy's convergence test, Convergence (economics), Principal value, Residue theorem, Cauchy's integral theorem, Cauchy distribution

Related papers

Back to paper searchBrowse research topicsOriginal source
Uniform Convergence Results for Cauchy Principal Value Integrals — Research Paper | ScholarLens