Displaying similar documents to “Application of Cauchy's equation in combinatorics and genetics.”

Mixed Type Of Additive And Quintic Functional Equations

Abasalt Bodaghi, Pasupathi Narasimman, Krishnan Ravi, Behrouz Shojaee (2015)

Annales Mathematicae Silesianae

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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(3x+y)−5f(2x+y)+f(2x−y)+10f(x+y)−5f(x−y)=10f(y)+4f(2x)−8f(x) 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 in the set of real numbers.