Also, some topological properties of these new sequence spaces are investigated.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The aim of this paper is to introduce some new sequence spaces of lacunary convergent sequences combining with Riesz mean and generalized difference matrix by using an Orlicz function.
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Temel Bulgular & Veri:Further, we define a new concept, named Bm η -weighted lacunary statistical convergence and examine some connections between this notion with the concept of Bmη-lacunary statistical convergence and Bm η-weighted statistical convergence.
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Sonuç & Katkı:Also, some topological properties of these new sequence spaces are investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Özet
The aim of this paper is to introduce some new sequence spaces of lacunary convergent sequences combining with Riesz mean and generalized difference matrix by using an Orlicz function. Further, we define a new concept, named Bm η -weighted lacunary statistical convergence and examine some connections between this notion with the concept of Bmη-lacunary statistical convergence and Bm η-weighted statistical convergence. Also, some topological properties of these new sequence spaces are investigated.
Abstract
Bu makalenin amacı, Orlicz fonksiyonu kullanarak Riesz ortalama ve genelleştirilmiş fark matrisinin birleşimiyle bazı yeni lacunary yaknsak dizilerin uzaylarını tanıtmaktır. Ayrca, biz bu makalede Bm η -ağırlıklı lacunary istatistiksel yakınsaklık olarak adlandırılan yeni bir kavram tanımladık ve bu kavramla Bm η -lacunary istatistiksel yakınsaklık kavramıyla aralarındaki ilişkiyi inceledik.
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Bu Makaleye Atıf Yap
BAŞARIR, M., KONCA, Ş. (2022). Orlicz fonksiyonu yardımıyla tanımlanmış bazı ağırlıklı lacunary Bm η -yakınsak dizi uzayları ve Bm η -ağırlıklı lacunary istatistiksel yakınsaklık. Contemporary Analysis and Applied Mathematics, Cilt: 2 - Sayı: 2, 242–257. https://ajindex.com/articles/476480
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