Stability of the seventh-order functional Equations in the β-Gaussian space
Subject Areas : Statistics
N.
Ghafoori Adl
1
(ph. D. Student, Department of Pure Mathematics (Mathematical Analysis), Faculty of Basic Science, Islamic Azad University, Science and Research Branch, Tehran, Iran.)
D.
Ebrahimi Bagha
2
(Associate Professor, Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.)
M. S.
Asgari
3
(Associate Professor, Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.)
M.
Azhini
4
(Assistant Professor, Department of Pure Mathematics (Mathematical Analysis), Faculty of Basic Science, Islamic Azad University, Science and Research Branch, Tehran, Iran)
Keywords: معادلات تابعی, پایداری نرم β-گاوسی, (β, p)-قضایای باناخ,
Abstract :
The purpose of this paper is to solve the seventh-order functional equation as follows: --------------------------- Next, we study the stability of this type of functional equation. Clearly, the function ---------- holds in this type functional equation. Also, we prove Hyers-Ulam stability for this type functional equation in the β-Gaussian Banach space.
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