Solution and Stability of a Mixed Type Functional Equation

Pasupathi Narasimman; Abasalt Bodaghi

Solution and Stability of a Mixed Type Functional Equation

Functional Analysis 2015-06-23 v1

Authors: Pasupathi Narasimman , Abasalt Bodaghi

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.

Keywords

hyers-ulam stability

Cite

@article{arxiv.1506.06376,
  title  = {Solution and Stability of a Mixed Type Functional Equation},
  author = {Pasupathi Narasimman and Abasalt Bodaghi},
  journal= {arXiv preprint arXiv:1506.06376},
  year   = {2015}
}

Comments

Accepted for publication in Filomat

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