Research Article

On the L_p -sine moment-entropy inequality

Published in: Quaestiones Mathematicae
Volume 47 , issue 1 , 2024 , pages: 147–156

DOI: 10.2989/16073606.2023.2195566

Author(s): Zi-Xin Cao Shaanxi Normal University, China , Qingzhong Huang Jiaxing University, China , Ai-Jun Li Zhejiang University of Science and Technology, China

Keywords: Primary: 52A40 , Secondary: 94A15 , L_p -sine Blaschke-Santaló inequality , L_p -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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