fr切特泛函方程推广的稳定性

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2015-12-01 DOI:10.1515/AUPCSM-2015-0006

Renata Malejki

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引用次数: 18

摘要

摘要本文从内积空间的一个刻画出发，证明了一类广为人知的fr切特泛函方程的一些稳定性和超稳定性结果。作为主要工具，我们对一些函数空间使用不动点定理。最后给出了一些表征内积空间的新不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability of a generalization of the Fréchet functional equation

Abstract We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks