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Functional Inequalities in Non-Archimedean Normed Spaces 被引量：1

Functional Inequalities in Non-Archimedean Normed Spaces
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摘要 In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces. In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.
作者 Choonkil PARK
机构地区 Research Institute for Natural Sciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第3期353-366,共14页 数学学报（英文版）
基金 Supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(Grant No.NRF-2012R1A1A2004299)
关键词 Jordan-yon Neumann functional equation non-Archimedean normed space Banachspace Hyers-Ulam stability functional inequality Jordan-yon Neumann functional equation, non-Archimedean normed space, Banachspace, Hyers-Ulam stability, functional inequality
分类号 O177 [理学—基础数学]
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参考文献17

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引证文献1

Acta Mathematica Sinica,English Series
2015年 第3期

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