SOME DOUBLE SEQUENCE SPACES IN $N$-NORMED SPACES USING IDEAL CONVERGENCE AND A SEQUENCE OF ORLICZ FUNCTIONS

SUNIL K.  SHARMA; KULDIP  RAJ; AJAY K.  SHARMA

SOME DOUBLE SEQUENCE SPACES IN $N$-NORMED SPACES USING IDEAL CONVERGENCE AND A SEQUENCE OF ORLICZ FUNCTIONS

Authors

SUNIL K. SHARMA School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
KULDIP RAJ School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
AJAY K. SHARMA School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India

Keywords:

Paranorm space, I-convergence, Difference sequence space, Orlicz function, Musielak-Orlicz function, n-normed spaces

Abstract

In the present paper we introduce some double sequence spaces using ideal convergence and a sequence of Orlicz functions $\mathcal{M}=(M_{k,l})$ in $n$-normed spaces and examine some topological properties of the resulting sequence spaces