An n-dimensional mixed-type additive and quadratic functional equation and its stability

被引：8

作者：

Towanlong, Wanchitra ^{[1
]}

Nakmahachalasint, Paisan ^{[1
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Math, Bangkok 10330, Thailand

来源：

SCIENCEASIA | 2009年 / 35卷 / 04期

关键词：

polynomial extension; Banach space; inequality; HYERS-ULAM STABILITY; MAPPINGS;

D O I：

10.2306/scienceasia1513-1874.2009.35.381

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We determine the general solution of the n-dimensional mixed-type additive and quadratic functional equation, 2f (Sigma(n)(i=1)x(i)) + Sigma(1 <= i,j <= n, i not equal j)) f(x(i) - x(j)) = (n + 1) Sigma(n)(i=1) f (x(j)) + (n - 1) Sigma(n)(i=1) f(-x(i)), where n > 1, and investigate its general stability.

引用

页码：381 / 385

页数：5

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