Some New Cesàro Sequence Spaces of Order α

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-09-06 DOI:10.1007/s11253-024-02333-8

Medine Yeşilkayagil Savaşcı, Feyzi Başar

引用次数: 0

Abstract

We introduce the spaces ℓ_∞(𝒞_α), f(𝒞_α), and f₀(𝒞_α) of Cesàro bounded, Cesàro almost convergent, and Cesàro almost null sequences of order α, respectively. Moreover, we establish some inclusion relations for these spaces and determine the α -, β- and γ-duals of the spaces ℓ_∞ (𝒞_α) and f(𝒞_α). Finally, we characterize the classes of matrix transformations from the space f(𝒞_α) to any sequence space Y and from any sequence space Y to the space f(𝒞_α).

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一些新的α阶塞萨罗序列空间

我们分别引入阶为 α 的 Cesàro 有界序列、Cesàro 几乎收敛序列和 Cesàro 几乎无效序列的空间 ℓ∞(𝒞α)、f(𝒞α) 和 f0(𝒞α)。此外，我们还为这些空间建立了一些包含关系，并确定了空间 ℓ∞ (𝒞α) 和 f(𝒞α) 的 α -、β - 和 γ 二重。最后，我们描述了从空间 f(𝒞α) 到任意序列空间 Y 以及从任意序列空间 Y 到空间 f(𝒞α) 的矩阵变换类。

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

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.