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General Solution and Stability of Quattuordecic Functional Equation in Quasi β-Normed Spaces
Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India
Pedagogical Department E. E, Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens, Greece
Departamen to de Cincias Exactas e Naturais, Amadora, Portugal
Research and Development Centre, Bharathiar University, Coimbatore, India
- 1 Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India
- 2 Pedagogical Department E. E, Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens, Greece
- 3 Departamen to de Cincias Exactas e Naturais, Amadora, Portugal
- 4 Research and Development Centre, Bharathiar University, Coimbatore, India
Advances in Pure Mathematics·Volume 06 (2016)·Pages 921–941·Published 8 November 2016·DOI10.4236/apm.2016.612070
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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.
KeywordsQuattuordecic Functional EquationFixed Point MethodHyers-Ulam Rassias StabilityQuasi-&beta-Normed Space
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