Hyperstability of the general linear equation on restricted domains

被引：0
作者：
D. Molaei
A. Najati
机构：
[1] University of Mohaghegh Ardabili,Department of Mathematics, Faculty of Mathematical Sciences
来源：
Acta Mathematica Hungarica | 2016年 / 149卷
关键词：
primary 39B82; 39B62; secondary 47H14; 47H10; hyperstability; generalized Cauchy functional equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the hyperstability of the generalized Cauchy functional equation f(ax+by)=Af(x)+Bf(y)+C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(ax + by) = Af(x) + Bf(y) + C$$\end{document}on restricted domains. We show, under some assumptions, that a function satisfying the equation approximately must be actually a solution to it.
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页码：238 / 253
页数：15
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