Contents V.8, N.1, 2017

  • RIESZ LACUNARY ALMOST CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY SEQUENCE OF ORLICZ FUNCTIONS OVER N-NORMED SPACES
    M.Mursaleen, S.K.Sharma (pp. 43-63)

    • Abstract.

    In the present paper we introduce a new concept for strong almost convergence with respect to sequence of Orlicz function, difference sequence, Reisz mean for double sequence, double lacunary sequence and n-normed space. We examine some topological properties, inclusion relation between these newly defined sequence spaces and establish relation with Riesz lacunary almost statistically convergence sequence spaces.

    Keywords:

    double sequence, difference sequence, Pringsheim convergence, Riesz convergence, statistical convergence, Orlicz function, n-normed space.

    Contact Details

    Telephone:
    Email: twms.aliev@gmail.com
    Website: www.twmsj.az

    Z.Khalilov str., 23, AZ 1148,
    Baku
    AZERBAIJAN