Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces

Other literature type, Article English OPEN
Mursaleen, M.; Alotaibi, A.; Sharma, Sunil K.;

We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong ( $A$ )-convergence, where $A=({a}_{ik})$ is an infinite matrix of complex numbers. We also make an effort to study some topological... View more
  • References (29)
    29 references, page 1 of 3

    Lindenstrauss, J., Tzafriri, L.. On Orlicz sequence spaces. Israel Journal of Mathematics. 1971; 10: 379-390

    Maligranda, L.. Orlicz Spaces and Interpolation. 1989

    Musielak, J.. Orlicz Spaces and Modular Spaces. 1983; 1034

    Wilansky, A.. Summability through Functional Analysis. 1984; 85

    Mursaleen, M., Noman, A. K.. On some new sequence spaces of non absolute type related to the spaces lp and l ∞ II. Mathematical Communications. 2011; 16: 383-398

    Parashar, S. D., Choudhary, B.. Sequence spaces defined by Orlicz functions. Indian Journal of Pure and Applied Mathematics. 1994; 25 (4): 419-428

    Raj, K., Sharma, S. K.. Some sequence spaces in 2-normed spaces defined by Musielak-Orlicz function. Acta Universitatis Sapientiae: Mathematica. 2011; 3 (1): 97-109

    Raj, K., Sharma, S. K.. Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions. Cubo. 2012; 14 (3): 167-189

    Raj, K., Sharma, S. K.. Some multiplier sequence spaces defined by a Musielak-Orlicz function in n -normed spaces. New Zealand Journal of Mathematics. 2012; 42: 45-56

    Gökhan, A., Et, M., Mursaleen, M.. Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers. Mathematical and Computer Modelling. 2009; 49 (3-4): 548-555

  • Related Organizations (2)
  • Metrics
Share - Bookmark