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Mathematics 2017, 5(4), 53; https://doi.org/10.3390/math5040053

Stability of a Monomial Functional Equation on a Restricted Domain

Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Korea
Academic Editor: Hari Mohan Srivastava
Received: 24 August 2017 / Revised: 2 October 2017 / Accepted: 8 October 2017 / Published: 18 October 2017
(This article belongs to the Special Issue Operators of Fractional Calculus and Their Applications)
View Full-Text   |   Download PDF [241 KB, uploaded 18 October 2017]

Abstract

In this paper, we prove the stability of the following functional equation i = 0 n n C i ( 1 ) n i f ( i x + y ) n ! f ( x ) = 0 on a restricted domain by employing the direct method in the sense of Hyers. View Full-Text
Keywords: stability; monomial functional equation; direct method stability; monomial functional equation; direct method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Lee, Y.-H. Stability of a Monomial Functional Equation on a Restricted Domain. Mathematics 2017, 5, 53.

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