TITLE:
General Solution and Stability of Quattuordecic Functional Equation in Quasi β-Normed Spaces
AUTHORS:
K. Ravi, J. M. Rassias, S. Pinelas, S. Suresh
KEYWORDS:
Quattuordecic Functional Equation, Fixed Point Method, Hyers-Ulam Rassias Stability, Quasi-β-Normed Space
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.12,
November
30,
2016
ABSTRACT: In this paper, we introduce the following quattuordecic functional equation f(x+7y)-14f(x+6y)+91f(x+5y)-364f(x+4y)+1001f(x+3y)-2002f(x+2y)+3003f(x+y)-3432f(x)+3003f(x-y)-2002f(x-2y)+1001f(x-3y)-364f(x-4y)+91f(x-5y)-14f(x-6y)+f(x-7y)=14!f(y), investigate the general solution and prove the stability of this quattuordecic functional equation in quasi β-normed spaces by using the fixed point method.