School of Mathematics Shri Mata Vaishno Devi University, Katra-182320,\linebreak \indent J \& K (India)
10.22034/kjm.2021.272612.2173
Abstract
In this article, we introduce and study Orlicz lacunary convergent double sequences over $n$-normed spaces. We define the notion of $g_{2}$-statistical convergence in double sequence spaces. We study some topological and algebraic properties of newly formed sequence spaces. Some inclusion relations are also establish in this paper. Finally, we study some applications of statistical convergence in these spaces.
Raj, K., Sharma, C., & Jasrotia, S. (2022). Orlicz-Lacunary convergent double sequences and their applications to statistical convergence. Khayyam Journal of Mathematics, 8(1), 102-114. doi: 10.22034/kjm.2021.272612.2173
MLA
Kuldip Raj; Charu Sharma; Swati Jasrotia. "Orlicz-Lacunary convergent double sequences and their applications to statistical convergence". Khayyam Journal of Mathematics, 8, 1, 2022, 102-114. doi: 10.22034/kjm.2021.272612.2173
HARVARD
Raj, K., Sharma, C., Jasrotia, S. (2022). 'Orlicz-Lacunary convergent double sequences and their applications to statistical convergence', Khayyam Journal of Mathematics, 8(1), pp. 102-114. doi: 10.22034/kjm.2021.272612.2173
VANCOUVER
Raj, K., Sharma, C., Jasrotia, S. Orlicz-Lacunary convergent double sequences and their applications to statistical convergence. Khayyam Journal of Mathematics, 2022; 8(1): 102-114. doi: 10.22034/kjm.2021.272612.2173