中性粒细胞赋范空间中序列的Nörlund -统计收敛性的某些方面

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0194

Ö. Kişi, M. Gürdal, Burak Çakal

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引用次数: 0

摘要

摘要本文的目的是研究中性的Nörlund -统计收敛序列空间。本文给出了Nörlund收敛空间中的一些中性赋范空间(NNSs)。此外，我们还研究了这些收敛序列空间的各种拓扑和代数性质。根据神经网络理论的方法证明了定理。从不同的角度得到了结果，并产生了新的例子来证明对应的结果，并表明所引入概念的存在性。本研究工作的结果为神经网络的研究提供了详尽的基础，并对神经网络的理论发展做出了重大贡献。本研究的原始方面是基于标准定义的神经网络中中性粒细胞Nörlund -统计收敛序列的特征和实现的第一个完全最新和彻底的检查。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Certain aspects of Nörlund ℐ-statistical convergence of sequences in neutrosophic normed spaces

Abstract 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.

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.