A new type of approximation for the radical quintic functional equation in non-Archimedean (2,β)-Banach spaces
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DOI: 10.1016/j.jmaa.2017.08.015
Abstract: Abstract Let R be the set of real numbers. In this paper, we first introduce the notions of non-Archimedean ( 2 , β ) -normed spaces ( X , ‖ ⋅ , ⋅ ‖ ⁎… read more here.
Keywords: new type; non archimedean; functional equation; quintic functional ... See more keywords
On the general solution and hyperstability of the general radical quintic functional equation in quasi-β-Banach spaces
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DOI: 10.1016/j.jmaa.2018.06.024
Abstract: Abstract The goal of this paper is to study the general solution of the following general radical quintic functional equation f ( a x 5 + b y 5 5 ) = r f (… read more here.
Keywords: general radical; general solution; functional equation; quintic functional ... See more keywords
On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
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DOI: 10.3390/math7060510
Abstract: The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers–Ulam–Rassias stability… read more here.
Keywords: general quintic; equation general; quintic functional; general sextic ... See more keywords