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Solution of Hyers-Ulam stability problem for generalized Pappus’ equation. (English) Zbl 1070.39029
The authors generalize the famous Pappus’ identity and introduce a new functional equation $n^2 f(x+my) + mnf(x-my) = (m+n)(nf(x) + mf(ny)) \tag $$*$$$ for given positive integers $$m$$ and $$n$$. By applying the direct method, they prove the Hyers-Ulam-Rassias stability of the equation ($$*$$) for a class of functions $$f : X \to Y$$, where $$X$$ is a vector space and $$Y$$ is a Banach space.

##### MSC:
 39B82 Stability, separation, extension, and related topics for functional equations 39B52 Functional equations for functions with more general domains and/or ranges
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##### References:
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