Asymptotically Lacunary $J_delta$-Equivalence of Sequences of Sets

Abstract

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

Özet

Bu çalışmada, küme dizileri için Wijsman asimptotik kuvvetli p -lacunary invaryant denklik (${left[{W^L}_{Ndeltatheta}right]}_p$), Wijsman asimptotik lacunary J -invaryant denklik (${left[{W^L}_{Ndeltatheta}right]}_p$) ve Wijsman asimptotik lacunary J* -invaryant denklik ($W_{J^astdeltavartheta}^L$) kavramları tanıtıldı. Ayrıca, Wijsman asimptotik lacunary invaryant denklik, Wijsman asimptotik lacunary invaryant istatistiksel denklik, ${left[{W^L}_{Ndeltatheta}right]}_p$, ${left[{W^L}_{Ndeltatheta}right]}_p$ ve ($W_{J^astdeltavartheta}^L$) kavramlarıarasındaki ilişkiler araştırıldı.