Stability of Pexiderized quadratic functional equation on a set of measure zero

被引：1
作者：
EL-Fassi, Iz-iddine
Chahbi, Abdellatif
Kabbaj, Samir
Park, Choonki
机构：
[1] Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra
[2] Research Institute for Natural Sciences, Hanyang University, Seoul
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期
关键词：
Pexider quadratic functional equation; Hyers-Ulam stability; first category Lebesgue measure; Baire category theorem; SPACES; ULAM;
D O I：
10.22436/jnsa.009.06.93
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let be the set of real numbers and Y a Banach space. We prove the Hyers-Ulam stability theorem when f, h : R -> Y satisfy the following Pexider quadratic inequality vertical bar vertical bar f (x + y) + f (x - y) - 2f (x) - 2h(y)vertical bar vertical bar <= epsilon, in a set Omega subset of R-2 of Lebesgue measure m(Omega) = 0. (C) 2016 All rights reserved.
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页码：4554 / 4562
页数：9
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