二次型泛函方程Hyers-Ulam-Rassias意义上的模糊稳定性

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1633

Moahmmad Reza Farahani, Juan E. Nápoles Valdes, Murat Cancan, Saeid Jafari, Choonkil Park

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引用次数: 0

摘要

得到了2变量二次泛函方程z(y1 + y2, y3 + y4) + z(y1-y2, y3-y4) = 2z(y1, y3) + 2z(y2, y4)的通解，并讨论了该泛函方程的稳定性，而二次形式z(a, b) = aa2 + gab + gc2是该泛函方程的解。

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Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms

We obtain a general solution of the 2-variable quadratic functional equation z(y1 + y2, y3 + y4) + z(y1-y2, y3-y4) = 2z(y1, y3) + 2z(y2, y4) and discuss the stability of the above functional equation, while the quadratic form z(a, b) = aa2 + gab + gc2 is a solution of our functional equation.

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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.