基于模函数的空间强收敛性研究

IF 0.3 4区综合性期刊 Q4 MULTIDISCIPLINARY SCIENCES

Comptes Rendus De L Academie Bulgare Des Sciences Pub Date : 2023-10-31 DOI:10.7546/crabs.2023.10.01

Mustafa Hatim, Çiğdem Bektaş

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引用次数: 0

摘要

本文研究了复(或实数)数列的一个新的推广，并根据$$g^k$$引入了复(或实数)数列的缺强收敛的概念，其中$$g^k=g\circ g\circ\dots\circ g$$ ($$k$$次)表示复合模函数。之后，我们根据$$g^k$$确定了缺域强收敛和缺域统计收敛与缺域强收敛的联系。进一步，我们研究了这一推广的几个性质。

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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A Study on Lacunary Strong Convergence according to Modulus Functions

In this article, we study a new generalization of the lacunary strongly convergent sequences and introduce the concept of lacunary strong convergence according to $$g^k$$ for sequences of complex (or real) numbers, where $$g^k=g\circ g\circ\dots\circ g$$ ($$k$$ times) represents a composite modulus function. After that, we determine the connections of lacunary strong convergence and lacunary statistical convergence to lacunary strong convergence according to $$g^k$$. Furthermore, we investigate several properties of this generalization.

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来源期刊

Comptes Rendus De L Academie Bulgare Des Sciences 综合性期刊-综合性期刊

CiteScore

0.60

自引率

33.30%

发文量

181

审稿时长

3-6 weeks

期刊介绍： Founded in 1948 by academician Georgy Nadjakov, "Comptes rendus de l’Académie bulgare des Sciences" is also known as "Доклади на БАН","Доклады Болгарской академии наук" and "Proceeding of the Bulgarian Academy of Sciences". If applicable, the name of the journal should be abbreviated as follows: C. R. Acad. Bulg. Sci. (according to ISO)