Elements of Cartesian Analysis in Saidou Spaces

Nourrdin SAIDOU

Article Details

Elements of Cartesian Analysis in Saidou Spaces

Authors:

Nourrdin SAIDOU

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.10 Issue 24, pp.1-10

Document Type:

Article

Publication Date:

8/2021

Document Language:

English

Document ID (Org No.):

2001613980

pISSN:

2519-9277

Keywords:

Abstract:

 The objective of this research paper is to follow up on the work already started in order to install a new mathematical analysis, the one we called Cartesian analysis see our previous works. During these last two papers, we started with the definition of cartesian geometry and we defined and introduced to a new Cartesian topology which gave birth to new spaces called Saidou spaces. Thus, and to follow up on this way, we propose to studie the analytical and functional part of this analysis. We will define the notion of a Cartesian function and then its epigraph before to characterize the analytical properties of these functions, for example the continuity and the differentiablity. In an other hand, we will see the relationship between cartesian functions and the convex functions. According to the latest papers and this work we do the asset of the first foundations of the cartesian analysis.

Article Details

Elements of Cartesian Analysis in Saidou Spaces

Authors:

Nourrdin SAIDOU

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.10 Issue 24, pp.1-10

Document Type:

Article

Publication Date:

8/2021

Document Language:

English

Document ID (Org No.):

2001613980

pISSN:

2519-9277

Cartesian subsets

Saidou Spaces

Cartesian functions

Epigraphs

Issues

Article Details

Elements of Cartesian Analysis in Saidou Spaces

Authors: Nourrdin SAIDOU

Publisher: Refaad for Studies and Research, Jordan

Journal: General Letters in Mathematics Vol.10 Issue 24, pp.1-10

Document Type: Article

Publication Date: 8/2021

Document Language: English

Document ID (Org No.): 2001613980

pISSN: 2519-9277

Cartesian subsets

Saidou Spaces

Cartesian functions

Epigraphs

Issues

Authors:

Nourrdin SAIDOU

Publisher:

Refaad for Studies and Research, Jordan

Journal:

General Letters in Mathematics Vol.10 Issue 24, pp.1-10

Document Type:

Article

Publication Date:

8/2021

Document Language:

English

Document ID (Org No.):

2001613980

pISSN:

2519-9277