分数阶Cesàro矩阵及其相关序列空间

IF 0.3 Q4 MATHEMATICS
H. Roopaei, M. İlkhan
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引用次数: 3

摘要

摘要在本研究中,我们引入了一个新的分式Cesàro矩阵,并研究了与该矩阵相关的序列空间的拓扑性质。我们还引入了一个分数伽玛矩阵,并在Cesàro和伽玛矩阵的基础上得到了Hilbert算子的一些因子分解。这些因子分解的结果是两个新的不等式,其中一个是众所周知的希尔伯特不等式的广义版本。还有一些具有挑战性的问题,作者在手稿的末尾分享,并邀请研究人员尝试解决这些问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fractional Cesàro Matrix and its Associated Sequence Space
Abstract In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert operator based on Cesàro and Gamma matrices. The results of these factorizations are two new inequalities one ofwhich is a generalized version of thewell-known Hilbert’s inequality. There are also some challenging problems that authors share at the end of the manuscript and invite the researcher for trying to solve them.
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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