广义多元prabhakar型分数阶积分与不等式

IF 0.3 Q4 MATHEMATICS

Journal of Inequalities and Special Functions Pub Date : 2021-12-31 DOI:10.54379/jiasf-2021-4-1

George A. Anastassiou

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引用次数: 0

摘要

本文引入了混合广义多元Prabhakar型左、右分数积分，研究了它们的基本性质，如连续性的保持和它们作为正线性算子的有界性。然后我们在凸性下得到了一系列有趣的相关多元左右分数Hardy型不等式。我们还介绍了其他相关的多元分数积分

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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GENERALIZED MULTIVARIATE PRABHAKAR TYPE FRACTIONAL INTEGRALS AND INEQUALITIES

We introduce here the mixed generalized multivariate Prabhakar type left and right fractional integrals and study their basic properties, such as preservation of continuity and their boundedness as positive linear operators. Then we produce an interesting variety of related multivariate left and right fractional Hardy type inequalities under convexity. We introduce also other related multivariate fractional integrals

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来源期刊

Journal of Inequalities and Special Functions MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量