The Non-Convergence of Steiner Symmetrizations

WANG Tian ¹LIN Youjiang¹

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作者信息

1. School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China
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Abstract

In this paper,we demonstrate the existence of iterated Steiner symmetrizations of K that does not converge,even if the se-quence of directions is dense in the unit sphere.

Key words

convex body/compact set/Steiner symmetrization/non-convergence

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基金项目

National Natural Science Foundation of China(11971080)

Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202000838)

Basic and Advanced Research Project of Chongqing(cstc2018jcyjAX0790)

Basic and Advanced Research Project of Chongqing(cstc2020jcyjmsxmX0328)

Innovative Project of Chongqing Technology and Business University(yjscxx2022-112-72)

出版年

2023

武汉大学自然科学学报(英文版)

武汉大学

武汉大学自然科学学报(英文版)

CSTPCDCSCD北大核心

影响因子：0.066

ISSN：1007-1202

参考文献量12

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