On Approximately of a Quadratic Functional Equation on a Set of Measure Zero

被引：0

作者：

EL-Fassi, Iz-iddine ^{[1
]}

Chahbi, Abdellatif ^{[1
]}

Kabbaj, Samir ^{[1
]}

机构：

[1] Univ Ibn Tofail, Dept Math, Fac Sci, Kenitra, Morocco

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2018年 / 12卷 / 01期

关键词：

Quadratic functional equation; Hyers-Ulam stability; First category Lebesgue measure; Baire category theorem; HYERS-ULAM STABILITY; MAPPINGS; SPACES;

D O I：

10.1007/s11785-016-0594-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be the set of complex numbers, X be a normed space and Y be a Banach space. We investigate the Hyers-Ulam stability theorem when satisfy the following quadratic inequality parallel to f (x + y) + f (x + sigma(y)) - 2 f (x) - 2 f (y)parallel to <= epsilon in a set Omega subset of C-2 of Lebesgue measure m(Omega) = 0, where sigma : X -> X is an involution.

引用

页码：111 / 121

页数：11

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