Double Modulus Function Defined χ3-Sequence Spaces

Abstract

The main object of this paper is to introduce and study some triple sequence spaces are defined by a non-negative six-dimensional matrix and a double modulus function (X, Y) = (xu,v,w,i,m,n, yu,v,w,i,m,n) in real numbers ℝ and complex numbers ℂ. In addition, it is also possible to obtain and prove some merging relations. And using those operations conducted in the research to find some important properties such as solidity, symmetry, etc. Some basic equations for convergence spaces can be used to find some differential and integral equations with which. And using those equations to find the transformation of one-dimensional matrices into six-dimensional matrices by using some special software to find solutions of some differential equations affiliated with the three-spaces defined by the multiplicative modulus function and using them in some mathematical fields, including real and complex ones.