RIESZ LACUNARY ALMOST CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY SEQUENCE OF ORLICZ FUNCTIONS OVER N-NORMED SPACESM.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.