Küme Dizilerinin Asimptotik Lacunary $J_\delta$ -Denkliği

Abstract

Bu çalışmada, küme dizileri için Wijsman asimptotik kuvvetli p -lacunary invaryant denklik (${\left[{W^L}_{N\delta\theta}\right]}_p$), Wijsman asimptotik lacunary J -invaryant denklik (${\left[{W^L}_{N\delta\theta}\right]}_p$) ve Wijsman asimptotik lacunary J* -invaryant denklik ($W_{J^\ast\delta\vartheta}^L$) kavramları tanıtıldı. Ayrıca, Wijsman asimptotik lacunary invaryant denklik, Wijsman asimptotik lacunary invaryant istatistiksel denklik, ${\left[{W^L}_{N\delta\theta}\right]}_p$, ${\left[{W^L}_{N\delta\theta}\right]}_p$ ve ($W_{J^\ast\delta\vartheta}^L$) kavramları arasındaki ilişkiler araştırıldı.

Özet

In this study, we introduce the notions of Wijsman asymptotically strongly p -lacunary invariant equivalence (${\left[{W^L}_{N\delta\theta}\right]}_p$), Wijsman asymptotically lacunary J -invariant equivalence (${\left[{W^L}_{N\delta\theta}\right]}_p$) and Wijsman asymptotically lacunary J* -invariant equivalence ($W_{J^\ast\delta\vartheta}^L$) for sequences of sets. Also, the relationships among the notions of Wijsman asymptotically lacunary invariant equivalence, Wijsman asymptotically lacunary invariant statistical equivalence, ${\left[{W^L}_{N\delta\theta}\right]}_p$, ${\left[{W^L}_{N\delta\theta}\right]}_p$ and ($W_{J^\ast\delta\vartheta}^L$) are investigated.