Stability of the seventh-order functional Equations in the β-Gaussian space
Subject Areas : StatisticsN. Ghafoori Adl 1 , D. Ebrahimi Bagha 2 , M. S. Asgari 3 , M. Azhini 4
1 - ph. D. Student, Department of Pure Mathematics (Mathematical Analysis), Faculty of Basic Science, Islamic Azad University, Science and Research Branch, Tehran, Iran.
2 - Associate Professor, Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.
3 - Associate Professor, Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran.
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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