Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

for fixed integers k with k≠0,±1 in the quasi-Banach spaces.

Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces

Authors:	M. Eshaghi Gordji H. Khodaei

Affiliation:	^aDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

Abstract:	In this paper, we achieve the general solution and the generalized Hyers–Ulam–Rassias stability of the following functional equation f(x+ky)+f(x−ky)=k²f(x+y)+k²f(x−y)+2(1−k²)f(x)

Keywords:	Hyers– Ulam– Rassias stability Quadratic function Cubic function
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