Some (<em>p, q</em>)-Hardy type inequalities for (<em>p, q</em>)-integrable functions

In this paper, we study some $(p,q)$-Hardy type inequalities for $(p,q)$-integrable functions. Moreover, we also study $(p,q)$-Hölder integral inequality and $(p,q)$-Minkowski integral inequality for two variables. By taking $p=1$ and $q\to 1$, our results reduce to classical results on Hardy type i...

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Bibliographic Details
Main Authors: Suriyakamol Thongjob, Kamsing Nonlaopon, Sortiris K. Ntouyas
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2021006/fulltext.html