由Riemann-Liouville分数积分不等式讨论hardy型不等式

Mathematica Montisnigri Pub Date : 1900-01-01 DOI:10.20948/mathmontis-2022-53-2

B. Benaissa

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摘要

在“Hardy型不等式的新Riemann-Liouville推广”一文中，我们证明了定理3.3是假的，并且定理3.1和定理3.2中必须有α阶的必要条件。此外，给出了正确的3.3定理和一个带负参数的新结果;这些结果将证明使用Hölder不等式，并反转Hölder不等式。

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Discussions on Hardy-type inequalities via Riemann-Liouville fractional integral inequality

In this paper, we have shown that in the article entitled “New Riemann-Liouville generalizations for some inequalities of Hardy type” the Theorem 3.3 is false and that a necessary condition on the order α must be in Theorem 3.1 and Theorem 3.2. Additionally, the correct Theorem 3.3 and a new result with negative parameter are given; these results will prove using the Hölder inequality, and reverse Hölder inequality.

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Mathematica Montisnigri

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