Stability Results of Additive-Quadratic \(n\)-Dimensional Functional Equation

Abstract

In this paper, the authors discussed the Ulam-Hyers stability results of n-dimensional mixed type additive and quadratic functional equation:

Stability of a Quadratic-Reciprocal Functional Equation: Direct Method

“…In 2008, a special case of Gavruta's theorem for the unbounded Cauchy difference was obtained by Ravi et al [22] by considering the summation of both the sum and the product of two p-norms in the sprite of Rassias approach and is named J. M. Rassias Stability of functional equation. Last seven decades the stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem (see Gavruta [7], Karthikeyan et al [9][10][11], Rassias et al [20], and Ravi et al [22]).…”

Stability of n -dimensional mixed type quadratic and cubic functional equation

“…More recently, Karthikeyan et al, introduced and established the general Ulam-Hyers stability of mixed-type functional equations in various spaces [5,26,27] and cited references therein.…”