Solution and Stability of a Mixed Type Functional Equation

2015/06/21 by Pasupathi Narasimman, Narasimman, Pasupathi, Abasalt Bodaghi +1
Mathematics · #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.1506.06376

Abstract

In this paper, we obtain the general solution and investigate the generalized Hyers-Ulam-Rassias stability for the new mixed type additive and cubic functional equation 3f(x+3y) - f(3x + y)=12[f(x+y)+f(x-y)]-16[f(x)+f(y)] + 12f(2y) - 4f(2x). As some corollaries, we show that the stability of this equation can be controlled by the sum and product of powers of norms.

Related

• Stability of a mixed type quadratic, cubic and quartic functional equation
• Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces
• Stability of a functional equation deriving from quartic and additive functions
• Stability of a functional equation deriving from cubic and quartic functions
• Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces