# QUADRATIC FUNCTIONAL EQUATION AND ITS STABILITY IN FELBIN'S TYPE SPACES

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Let R be the set of real numbers and Y a Banach space. We prove the Hyers-Ulam stability theorem when f; h : R â†’ Y satisfy the following Pexider quadratic inequality â€–f(x + y) + f(x - y) - 2f(x) - 2h(y)â€– â‰¤ Îµ, in a set Î© âŠ‚ R2 of Lebesgue measure m(Î©) = 0.

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For any fixed n âˆˆ â„• with n â‰¥ 2, we are going to investigate the general solution of the equation (These equations cannot be represented into ASCII text), in the class of all functions between quasi-Î²-normed spaces, and then we are to prove the generalized Hyers-Ulam...

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For any fixed n Ïµ N with n â©¾ 2, we are going to investigate the general solution of the equation (This equation cannot be represented in ASCII code value) in the class of all functions between quasi-Î²-normed spaces, and then we are to prove the generalized Hyers-Ulam stability of the...

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No abstract available.