On the Generalized Quadratic-Quartic Cauchy Functional Equation and its Stability over Non-Archimedean Normed Space

نویسندگان

چکیده

Functional equation plays a very important and interesting role in the area of mathematics, which involves simple algebraic manipulations through one can arrive an solution. The theory functional equations is also used development other areas such as analysis, algebra, Geometry etc., new methods techniques are applied solving problem Information theory, Finance, Geometry, wireless sensor networks In recent decades, study various types stability HUS (Hyers-Ulam stability), HURS (Hyers-Ulam-Rassias stability) generalized different for mixed type were discussed by many authors space. has been widely studied authors, more results have proved classical case (Archimedean). years, analogues these investigated non-Archimedean aim this to investigate general Quadratic-Quartic Cauchy normed current article, we prove following over Normed space.

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ژورنال

عنوان ژورنال: Mathematics and Statistics

سال: 2022

ISSN: ['2332-2144', '2332-2071']

DOI: https://doi.org/10.13189/ms.2022.100607