A refined approach to Ulam-Hyers stability in trigonometric AQ functional equations

The primary objective of this paper is to formulate an extended version of a new mixed-type additive-quadratic functional equation and to analyze its Ulam-Hyers stability in three distinct cases: odd, even, and odd-even. Specifically, the odd case corresponds to the stability of additive functional equations, the even case corresponds to the stability of quadratic functional equations, and the odd-even case characterizes the stability behavior of mixed additive-quadratic (AQ) functional equations

کلیدواژه ها:

Additive ، Quadratic functional equations ، Generalized Hyers - Ulam Stability