Titlebook: Handbook of Functional Equations; Stability Theory Themistocles M. Rassias Book 2014 Springer Science+Business Media, LLC 2014 Cauchy equat

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https://doi.org/10.1007/978-3-642-19559-4quence of such polynomials to the solution of the equation. The second part is devoted to present several approximation methods for finding solutions of so-called Kordylewski–Kuczma functional equation. Finally, in the last one we present a stability result in the sense of Ulam–Hyers–Rassias for gen

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https://doi.org/10.1007/978-3-322-90142-2able).in the class of functions ϕ mapping a nonempty set . into a Banach algebra . over a field ., where . is a fixed positive integer, . for ., and the functions ., . and . for ., are given. A particular case of the equation, with . for ., is the very well-known linear equation

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Zuverlässigkeit im Maschinenbauns in a group when the target space of the functions is a 2-divisible commutative group. As the main result we find an approximate sequence for the unknown function satisfying the Pexider functional inequality, the limit of which is the approximate function in the Hyers–Ulam stability theorem.

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协议

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On Stability of the Linear and Polynomial Functional Equations in Single Variable,able).in the class of functions ϕ mapping a nonempty set . into a Banach algebra . over a field ., where . is a fixed positive integer, . for ., and the functions ., . and . for ., are given. A particular case of the equation, with . for ., is the very well-known linear equation

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