Mixed Type Of Additive And Quintic Functional Equations

Bodaghi, Abasalt; Narasimman, Pasupathi; Ravi, Krishnan; Shojaee, Behrouz

doi:10.1515/amsil-2015-0004

Abstract

In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form $f (3 x + y) - 5 f (2 x + y) + f (2 x - y) + 10 f (x + y) - 5 f (x - y) = 10 f (y) + 4 f (2 x) - 8 f (x)$ $$f\left( {3x + y} \right) - 5f\left( {2x + y} \right) + f\left( {2x - y} \right) + 10f\left( {x + y} \right) - 5f\left( {x - y} \right) = 10f\left( y \right) + 4f\left( {2x} \right) - 8f\left( x \right)$$ in the set of real numbers.

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Mixed Type Of Additive And Quintic Functional Equations

Abstract

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