关于无穷远处的（μ）-强Cesaro可和性及其在Fourier–Stieltjes变换中的应用

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2022-09-08 DOI:10.1007/s40065-022-00393-x

S. R. Sadigova

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引用次数: 0

摘要

本文引入了一个局部可积函数在无穷大处的强Cesaro可和性的概念。同时还考虑了无穷大统计收敛的概念，建立了这两个概念之间的关系。还考虑了由测度\（\mu\left（\cdot\right）\）生成的\（\mu \left[p\right]\）-无穷远点强收敛的概念。在这种情况下也获得了类似的结果。该方法被应用于傅立叶-斯蒂尔杰变换的收敛性研究。

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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On \(\mu \)-strong Cesaro summability at infinity and its application to the Fourier–Stieltjes transforms

The concept of \(\mu \)-strong Cesaro summability at infinity for a locally integrable function is introduced in this work. The concept of \(\mu \)-statistical convergence at infinity is also considered and the relationship between these two concepts is established. The concept of \(\mu \left[ p\right] \)-strong convergence at infinity point, generated by the measure \(\mu \left( \cdot \right) \) is also considered. Similar results are obtained in this case too. This approach is applied to the study of the convergence of the Fourier–Stieltjes transforms.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.