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The strengthened Wirtinger inequality and its geometric applications

  • ZENG Chunna1,BIN Rui1,DONG Xu1,MA Lei2*
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  • (1 School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China;2 School of Sciences,Guangdong Preschool Normal College in Maoming,Maoming 525000,Guangdong,China)

Online published: 2023-05-06

Abstract

The famous Wirtinger inequality in analysis is equivalent to many classical geometric inequalities or its generalized form. The strengthened Wirtinger inequality is investigated. According to the properties of periodic functions,a series of strengthened Wirtinger inequalities are obtained. As an application of these Wirtinger inequalities, the proof of Bonnesen-type inequality for symmetric convex bodies is obtained.

Cite this article

ZENG Chunna1,BIN Rui1,DONG Xu1,MA Lei2* . The strengthened Wirtinger inequality and its geometric applications[J]. Journal of Shaanxi Normal University(Natural Science Edition), 2023 , 51(1) : 55 -60 . DOI: 10.15983/j.cnki.jsnu.2023109

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