Mixed type of additive and quintic functional equations
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(3x + y) - 5f(2x + y) + f(2x - y) + 10f(x + y) - 5f(x - y) = 10f(y) + 4f(2x) - 8f(x)
in the set of real numbers.
Keywords
additive functional equation; Hyers–Ulam stability; quintic functional equation
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Department of Mathematics, Garmsar Branch, Islamic Azad University, Iran Iran, Islamic Republic of
Department of Mathematics, Thiruvalluvar University College of Arts and Science, India India
Department of Mathematics, Sacred Heart College, India India
Department of Mathematics, Karaj Branch, Islamic Azad University, Iran Iran, Islamic Republic of
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