Certain aspects of Nörlund I-statistical convergence of sequences in neutrosophic normed spaces
Demonstratio Mathematica, cilt.56, sa.1, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 56 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.1515/dema-2022-0194
- Dergi Adı: Demonstratio Mathematica
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
- Anahtar Kelimeler: neutrosophic normed space, ideal convergence, Norlund convergent space, FIXED-POINT THEOREMS, SUMMABILITY METHODS, FUZZY, KOROVKIN
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
The aim of this article is to investigate the neutrosophic Nörlund I-statistically convergent sequence space. We present some neutrosophic normed spaces (NNSs) in Nörlund convergent spaces. In addition, we also examine various topological and algebraic properties of these convergent sequence spaces. Theorems are proved in light of the NNS theory approach. Results are obtained via different perspectives and new examples are produced to justify the counterparts and show the existence of the introduced notions. The results established in this research work supply an exhaustive foundation in NNS and make a significant contribution to the theoretical development of NNS in the literature. The original aspect of this study is the first wholly up-to-date and thorough examination of the features and implementation of neutrosophic Nörlund I-statistically convergent sequences in NNS, based upon the standard definition.