Research Article

On the L_p -sine moment-entropy inequality

Published in: Quaestiones Mathematicae
Volume 47 , issue 1, pages: 147–156

DOI: 10.2989/16073606.2023.2195566

Author(s): Zi-Xin CaoShaanxi Normal University, China, Qingzhong HuangJiaxing University, China, Ai-Jun LiZhejiang University of Science and Technology, China,

Keywords: Primary: 52A40, Secondary: 94A15, Lp -sine Blaschke-Santaló inequality, Lp -sine moment-entropy inequality,

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Abstract

In this paper, we establish a sine version of the moment-entropy inequality due to Lutwak et al. [8]. Moreover, we show that this inequality is equivalent to the L_p -sine moment-entropy inequality recently established in [6].

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