Mixed type of additive and quintic functional equations

Journal Title: Annales Mathematicae Silesianae - Year 2015, Vol 29, Issue

Abstract

In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form $$f(3x + y) - 5f(2x + y) + f(2x - y) + 10f(x + y) - 5f(x - y) = 10f(y) + 4f(2x) - 8f(x)$$ in the set of real numbers.

Authors and Affiliations

Abasalt Bodaghi, Pasupathi Narasimman, Krishnan Ravi, Behrouz Shojaee

Keywords

Related Articles

The behaviour of weak solutions of boundary value problems for linear elliptic second order equations in unbounded cone-like domains

We investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find...

Characterizations of rotundity and smoothness by approximate orthogonalities

In this paper we consider the approximate orthogonalities in real normed spaces. Using the notion of approximate orthogonalities in real normed spaces, we provide some new characterizations of rotundity and smoothness of...

Alienation of the Jensen, Cauchy and d’Alembert equations

Let $(S,+)$ be a commutative semigroup, $\sigma : S \to S$ be an endomorphism with $\sigma^2 = id$ and let $K$ be a field of characteristic different from 2. Inspired by the problem of strong alienation of the Jensen eq...

The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron

We describe some algorithms, without using resolution of singularities, that establish the rationality of the motivic Igusa zeta series of certain hypersurfaces that are non-degenerated with respect to their Newton polyh...

Fixed point results satisfying rational type contractive conditions in complex valued metric spaces – revisited

In our previous work titled “Fixed Point Results Satisfying Rational type Contractive Conditions in Complex Valued Metric Spaces” [Ann. Math. Sil. 30 (2016), 89–110], some errors has been made in the main results (Theore...

Download PDF file
  • EP ID EP230401
  • DOI 10.1515/amsil-2015-0004
  • Views 146
  • Downloads 0

How To Cite

Abasalt Bodaghi, Pasupathi Narasimman, Krishnan Ravi, Behrouz Shojaee (2015). Mixed type of additive and quintic functional equations. Annales Mathematicae Silesianae, 29(), 35-50. https://europub.co.uk/articles/-A-230401