An AQCQ-Functional Equation in Matrix Random Normed Spaces

Jung Rye Lee (), Choonkil Park () and Themistocles M. Rassias ()
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Jung Rye Lee: Daejin University
Choonkil Park: Hanyang University
Themistocles M. Rassias: National Technical University of Athens

A chapter in Topics in Mathematical Analysis and Applications, 2014, pp 523-540 from Springer

Abstract: Abstract In this paper, we prove the Hyers–Ulam stability of the following additive-quadratic-cubic-quartic functional equation f ( x + 2 y ) + f ( x − 2 y ) = 4 f ( x + y ) + 4 f ( x − y ) − 6 f ( x ) + f ( 2 y ) + f ( − 2 y ) − 4 f ( y ) − 4 f ( − y ) $$\displaystyle\begin{array}{rcl} & & f(x + 2y) + f(x - 2y) {}\\ & & \quad = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y) {}\\ \end{array}$$ in matrix random normed spaces.

Keywords: Hyers–Ulam stability; Matrix random normed space; Additive-quadratic-cubic-quartic functional equation (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-06554-0_22

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