LACUNARY Iσ-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCE

Abstract

This study introduces the concepts of lacunary I-sigma-statistical convergence of complex uncertain sequences: lacunary I-sigma-statistical convergence almost surely (S-theta (I-sigma).a.s.), lacunary I-sigma-statistical convergence in measure, lacunary 4-statistical convergence in mean, lacunary I-sigma-statistical convergence in distribution and lacunary I-sigma-statistically convergence uniformly almost surely (S-theta (I-sigma). u. a. s). In addition, decomposition theorems and relationships among them are discussed.