On the Ulam-Hyers stability of a quadratic functional equation

被引：1

作者：

Lee, Sang-Baek ^{[2
]}

Park, Won-Gil ^{[3
]}

Bae, Jae-Hyeong ^{[1
]}

机构：

[1] Kyung Hee Univ, Grad Sch Educ, Yongin 446701, South Korea

[2] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

[3] Mokwon Univ, Coll Educ, Dept Math Educ, Taejon 302729, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

关键词：

Hyers-Ulam stability; quadratic function;

D O I：

10.1186/1029-242X-2011-79

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Ulam-Hyers stability problems of the following quadratic equation r(2)f (x + gamma/r) + r(2)f (x - gamma/r) = 2f (x) + 2f(gamma), where r is a nonzero rational number, shall be treated. The case r = 2 was introduced by J. M. Rassias in 1999. Furthermore, we prove the stability of the quadratic equation by using the fixed point method.

引用

页数：9

共 18 条

[1]

Aczel J., 1989, ENCY MATH APPL, V31

[2]

[Anonymous], 1996, DEMONSTRATIO MATH

[3]

[Anonymous], COLLECTION MATH PROB

[4]

Aoki T., 1950, J. Math. Soc. Japan, V2, P64

[5]

Borelli C, 1995, Int JMath Math Sci, V18, P229

[6]

Cholewa P.W., 1984, Aequat. Math, V27, P76, DOI [10.1007/BF02192660, DOI 10.1007/BF02192660]

[7]

Forti G-L., 1980, Stochastica, V4, P23

[8] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].

GAVRUTA, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436

[9] On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations [J].

Gordji, M. Eshaghi ;

Khodaei, H. .

ABSTRACT AND APPLIED ANALYSIS, 2009,

[10] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

← 1 2 →