Stability of a Jensen type quadratic-additive functional equation under the approximately conditions

被引:0
作者
Lee, Young-Su [1 ]
Jeong, Yujin [1 ]
Ha, Hyemin [1 ]
机构
[1] Hana Acad Seoul, Seoul 122200, South Korea
关键词
quadratic functional equation; additive functional equation; mixed type functional equation; stability; HYERS-ULAM STABILITY;
D O I
10.1186/s13662-015-0392-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the Hyers-Ulam-Rassias stability of the Jensen type quadratic and additive functional equation under the approximately conditions such as even, odd, quadratic, and additive in Banach spaces.
引用
收藏
页数:20
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共 30 条
[21]   A fixed point method to the generalized stability of a mixed additive and quadratic functional equation in Banach modules [J].
Najati, Abbas ;
Eskandani, G. Zamani .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (07) :773-788
[22]  
Nakmahachalasint P., 2007, INT J MATH MATH SCI, V2007, P63239
[23]   STABILITY OF LINEAR MAPPING IN BANACH-SPACES [J].
RASSIAS, TM .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) :297-280
[24]  
Ravi K, 2010, INT J APPL MATH STAT, V19, P1
[25]  
Ravi K, 2010, THAI J MATH, V8, P469
[26]  
Ravi K., 2011, AUST J MATH ANAL APP, V8, P1
[27]  
Ravi K., 2010, Global J. Appl. Math. Sci., V3, P57
[28]   An n-dimensional mixed-type additive and quadratic functional equation and its stability [J].
Towanlong, Wanchitra ;
Nakmahachalasint, Paisan .
SCIENCEASIA, 2009, 35 (04) :381-385
[29]   Stability of multi-Jensen mappings in non-Archimedean normed spaces [J].
Xu, Tian Zhou .
JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (02)
[30]   Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces [J].
Xu, Tian Zhou ;
Rassias, John Michael ;
Xu, Wan Xin .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (03) :529-560