Stability Problem for Jensen-type Functional Equations of Cubic Mappings Stability Problem for Jensen–type Functional Equations of Cubic Mappings期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Stability Problem for Jensen-type Functional Equations of Cubic Mappings

引用本文：

Kil-Woung JUN Hark-Mahn KIM. Stability Problem for Jensen-type Functional Equations of Cubic Mappings[J]. 数学学报(英文版), 2006, 22(6): 1781-1788. DOI: 10.1007/s10114-005-0736-9

作者姓名：

Kil-Woung JUN Hark-Mahn KIM

作者单位：

Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon, 305-764, Republic of Korea

基金项目：

This work is supported by the Korea Research Foundation Grant funded by the Korea Government （M0EHRD）（KRF-2005-070-C00009）

摘要：

In this paper, we establish the general solution and the generalized Hyers-Ulam-Rassias stability problem for a cubic Jensen-type functional equation,4f（（3x＋y）/4）＋4f（（x＋3y）/4）=6f（（x＋y）/2）＋f（x）＋f（y）,9f（（2x＋y/3）＋9f（（x＋2y）/3）=16f（（x＋y）/2＋f（x）＋f（y）in the spirit of D. H. Hyers, S. M. Ulam, Th. M. Rassias and P. Gaevruta.

关键词：

Jensen方程 Hyers-Ulam-Rassias稳定性立方映射数学分析

收稿时间：

2005-03-04

修稿时间：

2005-03-042005-07-27

Stability Problem for Jensen–type Functional Equations of Cubic Mappings

Kil-Woung Jun,Hark-Mahn Kim. Stability Problem for Jensen–type Functional Equations of Cubic Mappings[J]. Acta Mathematica Sinica(English Series), 2006, 22(6): 1781-1788. DOI: 10.1007/s10114-005-0736-9

Authors:

Kil-Woung Jun Hark-Mahn Kim

Affiliation:

(1) Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon, 305–764, Republic of Korea

Abstract:

In this paper, we establish the general solution and the generalized Hyers–Ulam–Rassias stability problem for a cubic Jensen–type functional equation,

$begin{aligned} & 4f{left( {frac{{3x + y}} {4}} right)} + 4f{left( {frac{{x + 3y}} {4}} right)} = 6f{left( {frac{{x + y}} {2}} right)} + f{left( x right)} + f{left( y right)}, & 9f{left( {frac{{2x + y}} {3}} right)} + 9f{left( {frac{{x + 2y}} {3}} right)} = 16f{left( {frac{{x + y}} {2}} right)} + f{left( x right)} + f{left( y right)} end{aligned}$

in the spirit of D. H. Hyers, S. M. Ulam, Th. M. Rassias and P. Găvruta. This work is supported by the Korea Research Foundation Grant funded by the Korea Government (MOEHRD) (KRF–2005–070–C00009)

Keywords:

Jensen equation Hyers-Ulam-Rassias stability cubic mapping

本文献已被维普 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏