Details

Autor(en) / Beteiligte

• Lee, Jung Rye
• Park, Choonkil
• Rassias, Themistocles M.
• Tóth, László
• Rassias, Themistocles M

Titel

An AQCQ-Functional Equation in Matrix Random Normed Spaces

Ist Teil von

• Topics in Mathematical Analysis and Applications, 2014, Vol.94, p.523-540

Ort / Verlag

Switzerland: Springer International Publishing AG

Erscheinungsjahr

2014

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we prove the Hyers–Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\displaystyle\begin{array}{rcl} & & f(x + 2y) + f(x - 2y) {}\\ & & \quad = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y) {}\\ \end{array}$$ \end{document} in matrix random normed spaces.