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Lacunary statistical cluster points of sequences

Mathematical Communications, 2006
In this note we introduce the concept of a lacunary statistical cluster (l.s.c.) point and prove some of its properties in finite dimensional Banach spaces. We develop the method suggested by S. Pehlivan and M.A. Mamedov [20] where it was proved that under some conditions optimal paths have the same unique stationary limit point and stationary cluster ...
Pehlivan, S., Gürdal, M., Fisher, B.
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LACUNARY I_Σ-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCE

, 2019
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 ...
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Strongly I_2-lacunary convergence and I_2-lacunary cauchy double sequences of sets

, 2015
In this paper, we study the concepts of Wijsman strongly I2-lacunary convergence, Wijsman strongly I*_2 -lacunary convergence, Wijsman strongly I2-lacunary Cauchy sequences and Wijsman strongly I*_2 -lacunary Cauchy double sequences of sets and investigate the properties and relationship between them.
Dündar, Erdinç, Ulusu, Uğur, Pancaroğlu, Nimet +2 more
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Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence. [PDF]