ScholarLens Back to search
2019•arXiv (Cornell University)Open access

Constructive proof of Herschfeld's Convergence Theorem

Ran Gutin

Open full text 0 citations

Abstract

In this paper, we present a constructive proof of Herschfeld's Convergence Theorem. Our formulation differs from Herschfeld's in a few ways: We consider radicals that nest transfinitely many times, as these are essential to the proof; additionally, we formulate the conditions for convergence in such a way that a constructive proof is possible.

Open-access reader

About this research paper

What this paper is about

In this paper, we present a constructive proof of Herschfeld's Convergence Theorem. Our formulation differs from Herschfeld's in a few ways: We consider radicals that nest transfinitely many times, as these are essential to the proof; additionally, we formulate the conditions for convergence in such a way that a constructive proof is possible.

Why it matters

A significance statement is not available in the OpenAlex record.

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

In this paper, we present a constructive proof of Herschfeld's Convergence Theorem. Our formulation differs from Herschfeld's in a few ways: We consider radicals that nest transfinitely many times, as these are essential to the proof; additionally, we formulate the conditions for convergence in such a way that a constructive proof is possible.

Key concepts: Constructive proof, Constructive, Convergence (economics), Proof of concept, Mathematics, Mathematical proof, Calculus (dental), Mathematical economics

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Constructive proof of Herschfeld's Convergence Theorem — Research Paper | ScholarLens