Stability of the General Mixed Additive and Quadratic Functional Equation in Quasi Banach Spaces

被引：0

作者：

Kaskasem, Prondanai ^{[1
]}

Klin-eam, Chakkrid ^{[1
,2
]}

Noytabtim, Boriwat ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Naresuan Univ, Res Ctr Acad Excellence Math, Phitsanulok 65000, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 03期

关键词：

Hyers-Ulam-Rassias stability; additive functional equation; quadratic functional equation; general mixed additive and quadratic functional equation; quasi Banach spaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the following general mixed additive and quadratic functional equation f(lambda x + y) + f(lambda x - y) = f(x + y) + f(x - y) + (lambda - 1)[(lambda + 2) f(x) + lambda f(-x)] where lambda is an element of N and lambda not equal 1 in quasi Banach spaces. Moreover, we use contractive subadditive and expansively superadditive function to prove stability of the general mixed additive and quadratic functional equation in quasi Banach spaces.

引用

页码：1299 / 1322

页数：24

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