Non-Archimedean Approximation of Quadratic Functional Equations
Hassan Azadi Kenary, Habib Hoseini, Afshin Erami
Abstract
Hassan Azadi Kenary, Habib Hoseini, Afshin Erami
Abstract
In this paper, using the direct method, we prove the generalized Hyers-Ulam stability of the following functional equation f(3x ± y) =f(x ± y)+16f(x) in non-Archimedean normed spaces.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper, using the direct method, we prove the generalized Hyers-Ulam stability of the following functional equation f(3x ± y) =f(x ± y)+16f(x) in non-Archimedean normed spaces.
Key concepts: Mathematics, Mathematics Subject Classification, Quadratic equation, Functional equation, Stability (learning theory), Functional analysis, Pure mathematics, Subject (documents)