Lacunary 𝑰𝝈-statistical convergence of complex uncertain sequence
1Bartın University, Deparment of Mathematics, BARTIN
Sigma J Eng Nat Sci 2019; 37(2): 507-520
Abstract
This study introduces the concepts of lacunary 𝐼σ-statistical convergence of complex uncertain sequences: lacunary 𝐼𝜎-statistical convergence almost surely (Sθ( 𝐼𝜎).a.s.), lacunary 𝐼𝜎-statistical convergence in measure, lacunary 𝐼σ-statistical convergence in mean, lacunary 𝐼𝜎-statistical convergence in distribution and lacunary 𝐼𝜎-statistically convergence uniformly almost surely (Sθ( 𝐼σ).u.a.s). In addition, decomposition theorems and relationships among them are discussed.
Keywords: Lacunary convergence, invariant, uncertainty theory, complex uncertain variable, ideal convergence.
