A Study on some Properties of Fourier Integrals Based on Neutrosophic Function

Authors

  • Prasen Boro Department of Mathematical Sciences, Bodoland University, Kokrajhar-783370, INDIA;
  • Bhimraj Basumatary Department of Mathematical Sciences, Bodoland University, Kokrajhar-783370, INDIA;

Keywords:

Fourier integral, F.T., neoutrosophic function

Abstract

Fourier transforms is one of the oldest and a well-known technique in field of mathematic and engineering mathematical work. Fourier transform method represents the variable as a summation of complex exponentials.
Fourier analysis has been used in signal processing and digital image processing for the analysis of a single image as
a two-dimensional wave form, and many other type of form like Quantum mechanics, Signal processing, Image Processing. This analysis also represents filters, Transformation, representation, and encoding, Data Processing, Analysis
and many more fields. In this article, some basics of Fourier Integrals have been discussed in terms of neutrosophic
set. Dirichlet’s Conditions, Fourier integral formula and it’s five different forms are studied based on neutrosophic
set. This article includes the F.T., F.S.T. and F.C.T. of a neutrosophic function and their inversion formulae. In this
study, some properties of F.T. are discussed for a neutrosophic function. This study will help to get better results in
signal processing, image processing, and in other fields also. This serves as an overview of the Fourier integral of a
neutrosophic function

 

DOI: 10.5281/zenodo.13924245

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Published

2024-10-13

How to Cite

Prasen Boro, & Bhimraj Basumatary. (2024). A Study on some Properties of Fourier Integrals Based on Neutrosophic Function. Neutrosophic Sets and Systems, 75, 60-82. https://fs.unm.edu/nss8/index.php/111/article/view/5038

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