id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-677	Rassias, Matina John	Generalised Hyers-Ulam Product-Sum Stability of a Cauchy Type Additive Functional Equation	2011	9	.pdf	application/pdf	3124	208	88	In fact, by letting x → 2nx and y → 2n y, from (6), we have: || f �2n(x + y) � + f � 2n(x − y) � + f � 2n(y − x) �− f � 2n x �− f � 2n y �|| ≤ ǫ�||2nx E→ E′ is the unique additive mapping which satisfies || f (x)− A(x)|| ≤ 2ǫ 2− 2p ||x ||p (2) for all x ∈ E.	cache/ejpam-677.pdf	txt/ejpam-677.txt