Certain topological properties for almost convergent Catalan-Motzkin sequence space

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-08-17 DOI:10.15672/hujms.1298097

Muhammet Cihat DAĞLI

引用次数: 0

Abstract

The purpose of this paper is to introduce a new almost convergent sequence space by means of a matrix involving Catalan and Motzkin numbers. It is demonstrated that this novel sequence space and the space of all almost convergent sequences are linearly isomorphic and the beta- dual of this new space is deduced. In addition, by defining Catalan-Motzkin core of a complex-valued sequence, certain inclusion relations are derived for it.

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几乎收敛的Catalan-Motzkin序列空间的若干拓扑性质

本文的目的是利用包含Catalan数和Motzkin数的矩阵，引入一种新的几乎收敛的序列空间。证明了该新序列空间与所有几乎收敛序列空间线性同构，并推导了该新空间的-对偶。此外，通过定义复值序列的Catalan-Motzkin核，推导出复值序列的包含关系。

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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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.