Asymptotically Lacunary J -Equivalence of Sequences of Sets

Year 2020, Volume: 10 Issue: 1, 88 - 93, 25.06.2020

Uğur Ulusu

Abstract

In this study, we introduce the notions of Wijsman asymptotically strongly p -lacunary invariant equivalence Wijsman asymptotically lacunary J -invariant equivalence, and Wijsman asymptotically lacunary J* -invariant equivalence, for sequences of sets. Also, the relationships among the notions of Wijsman asymptotically lacunary invariant equivalence, Wijsman asymptotically lacunary invariant statistical equivalence, are investigated

Keywords

Asymptotically equivalence, Lacunary sequence

Küme Dizilerinin Asimptotik Lacunary J -Denkliği

Abstract

Bu çalışmada, küme dizileri için Wijsman asimptotik kuvvetli p -lacunary invaryant denklik, Wijsman asimptotik lacunaryJ -invaryant denklik, ve Wijsman asimptotik lacunary J* -invaryant denklik avramları tanıtıldı. Ayrıca, Wijsman
asimptotik lacunary invaryant denklik, Wijsman asimptotik lacunary invaryant istatistiksel denklik, kavramları arasındaki ilişkiler araştırıldı.

Keywords

Asimptotik denklik, Lacunary dizi

References

• Baronti, M., Papini, P. 1986. Convergence of sequences of sets, In: Methods of Functional Analysis in Approximation Theory. Birkhäuser, Basel, pp. 133–155.
• Beer, G. 1985. On convergence of closed sets in a metric space and distance functions. Bull. Aust. Math. Soc., 31(3): 421–432.