LACUNARY I_σ-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCE

Year 2019, Volume: 37 Issue: 2, 507 - 520, 01.06.2019

Ömer Kişi

Abstract

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

Keywords

Lacunary convergence, invariant, uncertainty theory, complex uncertain variable, ideal convergence.

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