• Allison Perkins

Articles written in Proceedings – Mathematical Sciences

• Stability of a Simple Levi–Civitá Functional Equation on Non-Unital Commutative Semigroups

In this paper, we study the Hyers–Ulam stability of a simple Levi–Civitá functional equation $f(x+y)=f(x)h(y)+f(y)$ and its pexiderization $f(x+y)=g(x) h(y)+k(y)$ on non-unital commutative semigroups by investigating the functional inequalities $|f(x+y)-f (x)h(y)-f(y)|\leq \epsilon$ and $|f(x+y)-g(x)h(y)-k(y)|\leq \epsilon$, respectively. We also study the bounded solutions of the simple Levi–Civitá functional inequality.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019