The Stability of Bi-Drygas Functional Equation

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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JR_SCMA-21-2_007

تاریخ نمایه سازی: 20 فروردین 1403

Abstract:

In this paper, we introduce and solve a system of bi-Drygas functional equations \begin{equation}\left\{\begin{aligned}        &f(x+y,z)+f(x-y,z)=۲f(x,z)+f(y,z)+f(-y,-z)\nonumber\\        &f(x,y+z)+f(x, y-z)=۲f(x,y)+f(x,z)+f(-x,-z)\nonumber\end{aligned}\right.\end{equation}for all x,y,z\in X. We will also investigate the Hyers-Ulam stability of the system of bi-Drygas functional equations.

Authors

Mehdi Dehghanian

Department of Mathematics, Sirjan University of Technology, P.O.Box ۷۸۱۳۷۳۳۳۸۵, Sirjan, Iran.

Sadegh Izadi

Teacher of Mathematics, Fars education, Shiraz, Iran.

Yamin Sayyari

Department of Mathematics, Sirjan University of Technology, P.O.Box ۷۸۱۳۷۳۳۳۸۵, Sirjan, Iran.

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