Mixed type of additive and quintic functional equations

Abasalt Bodaghi; Pasupathi Narasimman; Krishnan Ravi; Behrouz Shojaee

Published: 2015-09-30

Vol. 29 (2015)

Mixed type of additive and quintic functional equations

Abasalt Bodaghi , Pasupathi Narasimman , Krishnan Ravi , Behrouz Shojaee

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.

Keywords:

additive functional equation , Hyers–Ulam stability , quintic functional equation

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Bodaghi, A., Narasimman, P., Ravi, K., & Shojaee, B. (2015). Mixed type of additive and quintic functional equations. Annales Mathematicae Silesianae, 29, 35–50. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13976

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Abasalt Bodaghi

abasalt.bodaghi@gmail.com

Affiliation:

Department of Mathematics, Garmsar Branch, Islamic Azad University, Iran Iran, Islamic Republic of

Pasupathi Narasimman

Affiliation:

Department of Mathematics, Thiruvalluvar University College of Arts and Science, India India

Krishnan Ravi

Affiliation:

Department of Mathematics, Sacred Heart College, India India

Behrouz Shojaee

Affiliation:

Department of Mathematics, Karaj Branch, Islamic Azad University, Iran Iran, Islamic Republic of

Vol. 29 (2015)
Published: 2015-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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