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

S. K.  Sharma; K. Raj; A. K.  Sharma

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

Authors

S. K. Sharma School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
K. Raj School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
A. 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

Additional Files

Pages 1-11

Published

05/22/2013

How to Cite

Sharma, S. K. ., Raj, K., & Sharma, A. K. . (2013). SOME DOUBLE SEQUENCE SPACES IN $N$-NORMED SPACES USING IDEAL CONVERGENCE AND A SEQUENCE OF ORLICZ FUNCTIONS. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 4(1), 1–11. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2680