Mixed Type Of Additive And Quintic Functional Equations

Abasalt Bodaghi; Pasupathi Narasimman; Krishnan Ravi; Behrouz Shojaee

doi:10.1515/amsil-2015-0004

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Mixed Type Of Additive And Quintic Functional Equations

Annales Mathematicae Silesianae

Volume 29 (2015): Issue 1 (September 2015)

By: Abasalt Bodaghi, Pasupathi Narasimman, Krishnan Ravi and Behrouz Shojaee

Open Access

|Sep 2015

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)$$f\left( {3x + y} \right) - 5f\left( {2x + y} \right) + f\left( {2x - y} \right) + 10f\left( {x + y} \right) - 5f\left( {x - y} \right) = 10f\left( y \right) + 4f\left( {2x} \right) - 8f\left( x \right)$$ in the set of real numbers.

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2015-0004 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Page range: 35 - 50

Submitted on: Jul 17, 2014

Published online: Sep 30, 2015

Published in print: Sep 1, 2015

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Keywords:

additive functional equation,

Hyers–Ulam stability,

quintic functional equation

MSC:

39B72,

39B82

Related subjects:

Mathematics,

General mathematics

© 2015 Abasalt Bodaghi, Pasupathi Narasimman, Krishnan Ravi, Behrouz Shojaee, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 29 (2015): Issue 1 (September 2015)