The almost lacunary $\chi^{2}$ sequence spaces defined by modulus

Abstract

In this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ sequence spaces and also some inclusion theorems are discussed.