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In this paper, we examine the stability problem of the Pexider-type functional equation \(f(x+y) = f(x) h(y) + k(y)\) , which is a direct generalization of the Cauchy functional equations.

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Hyers-Ulam Stability of a Pexiderized Functional Equation

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  • 发表日期：

    2026年

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  • Soon-Mo Jung

摘要

In this paper, we examine the stability problem of the Pexider-type functional equation \(f(x+y) = f(x) h(y) + k(y)\) , which is a direct generalization of the Cauchy functional equations.