Generalized Hyers-Ulam Stability of a Cubic Reciprocal Functional Equation
K. Ravi *
Department of Mathematics, Sacred Heart College, Tirupattur-635 601, Tamil Nadu, India.
S. Suresh
Research Scholar, Research and Development center, Bharathiar University, Coimbatore, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we obtain the generalized Hyers-Ulam stability of a new cubic reciprocal functional equation of the form
in non-Archimedean elds with 
We also extend the results related to Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by the mixed product-sum of powers of norms for the same equation.
Keywords: Reciprocal functional equation, reciprocal-quadratic functional equation, generalized hyers-ulam stability, non-archimedean field