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Physical Sciences and Engineering Mathematics Analysis

Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces

Article ID Journal Published Year Pages File Type
4622208 Journal of Mathematical Analysis and Applications 2008 17 Pages PDF
Abstract

In this paper we establish the general solution of the functional equationf(2x+y)+f(2x−y)=f(x+y)+f(x−y)+2f(2x)−2f(x)f(2x+y)+f(2x−y)=f(x+y)+f(x−y)+2f(2x)−2f(x) and investigate the Hyers–Ulam–Rassias stability of this equation in quasi-Banach spaces.

Keywords
Quasi-Banach spaceHyers?Ulam?Rassias stabilityAdditive functionQuadratic function
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces
Authors
Abbas Najati, Mohammad B. Moghimi,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Quasi-Banach space
Hyers?Ulam?Rassias stability
Additive function
Quadratic function
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