QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES

作     者：Choonkil PARK 

作者机构：Research Institute for Natural Sciences Hanyang University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2015年第35卷第6期

页      面：1501-1510页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education Science and Technology(NRF-2012R1A1A2004299) 

主　　题：Hyers-Ulam stability quadratic p-functional equation quadratic p-functionalinequality complex Banach space 

摘      要：In this paper, we solve the quadratic p-functional inequalities ……where p is a fixed complex number with ｜P｜ 〈 1, and^where p is a fixed complex number with ｜P｜ 〈 2^-*** the direct method, we prove the Hyers-Ulam stability of the quadratic p-functional inequalities （0.1） and （0.2） in complex Banach spaces and prove the Hyers-Ulam stability of quadratic p-functional equations associated with the quadratic p-functional inequalities （0.1） and （0.2） in complex Banach spaces.