On the method of surgery and applications :  surgery

In this paper we introduce the concept of surgery. This conceptensures that almost all discontinuous functions can be made to be continuous without redefining their support. In spite of this, it preserves the properties of the original function. Consequently we are able to get a handle on the number of points of discontinuities on a finite interval by having an information on the norm of the repaired function and vice-versa.

Content

Author and article information

Journal

Title: AfricArXiv Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 28 May 2022

Affiliations

[1 ] African Institute for Mathematical sciences

Author notes

[* ]Email: theophilus@ 123456aims.edu.gh .

Author information

Theophilus Agama https://orcid.org/0000-0001-7790-9368

Article

DOI: 10.14293/111.000/000030.v1

SO-VID: e128778c-1393-496c-9495-ffb6fe8679d7

License:

This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

History

Date received : 28 May 2022

Data availability: Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

ScienceOpen disciplines: Mathematics

Keywords: surgery,discontinuity, support

On the method of surgery and applications : surgery

Abstract