Lacunary I^*-Yakınsaklık ve Lacunary I^*-Cauchy Dizisi

Yıl 2023, Cilt: 23 Sayı: 6, 1434 - 1439, 28.12.2023

Nimet Pancaroğlu Akın , Şeyma Yalvaç , Erdinç Dündar

https://doi.org/10.35414/akufemubid.1332740

Öz

Yapılan bu çalışmada, öncelikle, lacunary I^*-yakınsaklık kavramı tanımlandı ve lacunary I-yakınsaklık kavramı ile lacunary I^*-yakınsaklık kavramı arasındaki ilişkiler incelendi. Daha sonra, lacunary I^*-Cauchy dizi kavramı tanımladı ve lacunary I-Cauchy dizisi ile lacunary I^*-Cauchy dizisi arasındaki ilişkiler araştırıldı. Ayrıca, çalışmanın sonunda, lacunary I-yakınsaklık kavramı ile I-Cauchy dizisi kavramı arasındaki ilişki ele alındı.

Anahtar Kelimeler

İdeal, Lacunary dizi, I-yakınsaklık, I-Cauchy dizi

Lacunary I^*-Convergence and Lacunary I^*-Cauchy Sequence

Öz

In this study conducted, firstly, we defined the concept of lacunary I^*-convergence and we investigated the relations between lacunary I-convergence and lacunary I^*-convergence. Then, we defined the concept of lacunary I^*-Cauchy sequence and investigated the relations between lacunary I-Cauchy sequence and lacunary I^*-Cauchy sequence. Additionally, at the end of the study, we examined the relation between lacunary I^*-convergence and lacunary I-Cauchy sequence.

Anahtar Kelimeler

Ideal, Lacunary sequence, I-convergence, I-Cauchy sequence

Kaynakça

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