Deferred 𝜎-statistical summability in intuitionistic fuzzy 𝑟-normed linear spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-11 DOI:10.1515/anly-2023-0088

Vijay Kumar, Archana Sharma, Reena Kumari

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引用次数: 0

Abstract

In this paper, we define and study three novel summability concepts – strong deferred 𝜎-summability, deferred 𝜎-statistical summability, and 𝜎-statistical summability in intuitionistic fuzzy 𝑟-normed linear spaces (briefly called IF-𝑟-NLS) by using 𝜎-mean. We also provide an example in support of the new notions and uncover some interesting relationships. Additionally, we study deferred 𝜎-statistical summability in the context of two pairs of sequences of positive integers, namely, α n , γ n

\alpha_{n},\gamma_{n}

, and u n , v n

u_{n},v_{n}

satisfying α n ≤ u n < v n ≤ γ n

\alpha_{n}\leq u_{n}

查看原文本刊更多论文

直观模糊𝑟规范线性空间中的延迟𝜎统计求和性

本文利用𝜎-均值定义并研究了三个新的可求和性概念--强延迟𝜎-可求和性、延迟𝜎-统计可求和性以及直觉模糊𝑟规范线性空间（简称 IF-𝑟-NLS）中的𝜎-统计可求和性。此外，我们还研究了两对正整数序列的延迟𝜎-统计求和性，即 α n , γ n \alpha_{n},\gamma_{n} 和 u n , v n u n \alpha_{n},\gamma_{n} 。 u n , v n u_{n},v_{n} 满足 α n ≤ u n v n ≤ γ n \alpha_{n}\leq u_{n} 。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.