当前位置:
X-MOL 学术
›
Open Math.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On a functional equation that has the quadratic-multiplicative property
Open Mathematics ( IF 1.7 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0032 Choonkil Park 1 , Kandhasamy Tamilvanan 2 , Ganapathy Balasubramanian 2 , Batool Noori 3 , Abbas Najati 3
Open Mathematics ( IF 1.7 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0032 Choonkil Park 1 , Kandhasamy Tamilvanan 2 , Ganapathy Balasubramanian 2 , Batool Noori 3 , Abbas Najati 3
Affiliation
Abstract In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation: ϕ ( s t − u v ) + ϕ ( s v + t u ) = [ ϕ ( s ) + ϕ ( u ) ] [ ϕ ( t ) + ϕ ( v ) ] \phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t)+\phi (v)] by using the direct method and the fixed point method.
中文翻译:
关于具有二次乘性性质的函数方程
摘要 在本文中,我们获得了以下二次乘法函数方程的通解并证明了 Hyers-Ulam 稳定性: ϕ ( st − uv ) + ϕ ( sv + tu ) = [ ϕ ( s ) + ϕ ( u ) ] [ ϕ ( t ) + ϕ ( v ) ] \phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t )+\phi (v)] 使用直接法和定点法。
更新日期:2020-01-01
中文翻译:
关于具有二次乘性性质的函数方程
摘要 在本文中,我们获得了以下二次乘法函数方程的通解并证明了 Hyers-Ulam 稳定性: ϕ ( st − uv ) + ϕ ( sv + tu ) = [ ϕ ( s ) + ϕ ( u ) ] [ ϕ ( t ) + ϕ ( v ) ] \phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t )+\phi (v)] 使用直接法和定点法。