Fuzzy approximation of an additivefunctional equation

G. Zamani Eskandani; Ali Reza Zamani; H. Vaezi

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Fuzzy approximation of an additivefunctional equation

机译：可加泛函方程的模糊逼近

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摘要

In this paper, we investigate the generalized Hyers- Ulam-Rassias stability of the functional equation Σf (mx_i + Σ x_j)+f(Σx_j)= 2f(Σmx_i)~(i=1) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.

机译：本文研究了模糊Banach空间中函数方程Σf（mx_i +Σx_j）+ f（Σx_j）= 2f（Σmx_i）〜（i = 1）的广义Hyers-Ulam-Rassias稳定性以及我们的一些应用结果将显示出从范数空间到Banach空间的上述映射的稳定性。

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《Journal of Function Spaces and Applications》 |2011年第2期|共11页
作者
G. Zamani Eskandani; Ali Reza Zamani; H. Vaezi;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Hyers-Ulam-Rassias stability; Fuzzy normed space; Additive mapping;

机译：Hyers-Ulam-Rassias稳定性;模糊赋范空间;加性映射;

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专利

1. Fuzzy approximation of an additivefunctional equation [J] . G. Zamani Eskandani, Ali Reza Zamani, H. Vaezi Journal of Function Spaces and Applications . 2011,第2期

机译：可加泛函方程的模糊逼近
2. ON THE APPROXIMATIONS OF SOLUTIONS TO FUZZY DIFFERENTIAL EQUATIONS [J] . XUE XIAOPING, CHEN MINHAO, FU YONGQIANG Scientiae mathematicae Japonicae . 2003,第3期

机译：关于模糊微分方程解的逼近
3. Best approximations of the ? -Hadamard fractional Volterra integro-differential equation by matrix valued fuzzy control functions [J] . Rezaei Aderyani Safoura, Saadati Reza Advances in Difference Equations . 2021,第a期

机译：最好的近似值？ - 矩阵分数Volterra积分差分方程由矩阵有价值的模糊控制功能
4. Neural net approximations to solutions of systems of fuzzy linear equations [C] . Buckley, J.J., Hayashi, . 1997

机译：模糊线性方程组解的神经网络逼近
5. High -order numerical approximations of nonlinear Hamilton -Jacobi equations and approximation of elasticity problems using Stokes problems [D] . Lepsky, Olga 2000

机译：非线性Hamilton -Jacobi方程的高阶数值逼近和使用Stokes问题的弹性问题逼近
6. Laws of Large Numbers and Langevin Approximations for Stochastic Neural Field Equations [O] . Martin G Riedler, Evelyn Buckwar 2013

机译：随机神经场方程的大数定律和Langevin逼近
7. Best approximations of the ϕ-Hadamard fractional Volterra integro-differential equation by matrix valued fuzzy control functions [O] . Safoura Rezaei Aderyani, Reza Saadati 2021

机译：矩阵值模糊控制功能的φ-HADAMARD FROTERA INTECTO - 微分方程的最佳近似
8. Approximation Particulaire pour les Equations aux Derivees PartiellesStochastiques du Premier Ordre (Particle Approximation for First Order Stochastic Partial Differential Equations) [R] . Florchinger, P., Legland, F. 1991

机译：近似particulaire pour les Equations aux Derivees partiellesstochastiques du premier Ordre（一阶随机偏微分方程的粒子近似）

Fuzzy approximation of an additivefunctional equation

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