The Generalized difference of $d left(chi^{2	extit{I}}
ight)$ of fuzzy real numbers over $p$ metric spaces defined by Musielak Orlicz function

Vandana a , Deepmala b,∗ and N. Subramanian c

The Generalized difference of $d left(chi^{2 extit{I}} ight)$ of fuzzy real numbers over $p$ metric spaces defined by Musielak Orlicz function

Authors :

Vandana ^a , Deepmala ^b,∗ and N. Subramanian^c

Author Address :

^aDepartment of Management Studies, Indian Institute of Technology Madras, Tamil Nadu-600 036, India
^bMathematics Discipline, PDPM Indian Institute of Technology, Design & Manufacturing (IIITDM) Jabalpur-482005, (M.P.) India.
^cDepartment of Mathematics, SASTRA University, Thanjavur-613401, India.

*Corresponding author.

Abstract :

In this article we introduce the sequence spaces $left[chi^{2q}_{fmu },left|left(dleft(x_{1} ight),dleft(x_{2} ight),cdots, dleft(x_{n-1} ight) ight) ight|_{p} ight]^{ extit{I}left(F ight)}$ and $left[Lambda^{2q}_{fmu },left|left(dleft(x_{1} ight),dleft(x_{2} ight),cdots, dleft(x_{n-1} ight) ight) ight|_{p} ight]^{ extit{I}left(F ight)},$ associated with the differential operator of sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.

Keywords :

Analytic sequence, double sequences, $chi^{2}$ space, difference sequence space,Musielak - Orlicz function, $p-$ metric space, Ideal; ideal convergent; fuzzy number; multiplier,differential operato

DOI :

Article Info :

Received : November 12, 2016; Accepted : April 15, 2017.