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2009 Fuzzy Stability of Jensen-Type Quadratic Functional Equations
Sun-Young Jang, Jung Rye Lee, Choonkil Park, Dong Yun Shin
Abstr. Appl. Anal. 2009: 1-17 (2009). DOI: 10.1155/2009/535678

Abstract

We prove the generalized Hyers-Ulam stability of the following quadratic functional equations 2f((x+y)/2)+2f((xy)/2)=f(x)+f(y) and f(ax+ay)+(axay)=2a2f(x)+2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a±1/2.

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Sun-Young Jang. Jung Rye Lee. Choonkil Park. Dong Yun Shin. "Fuzzy Stability of Jensen-Type Quadratic Functional Equations." Abstr. Appl. Anal. 2009 1 - 17, 2009. https://doi.org/10.1155/2009/535678

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1167.39015
MathSciNet: MR2516006
Digital Object Identifier: 10.1155/2009/535678

Rights: Copyright © 2009 Hindawi

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