Generalized Hyers-Ulam Stability of a Cubic reciprocal Functional Equation
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 20, Issue 6
Abstract
In this paper, we obtain the generalized Hyers-Ulam stability of a new cubic reciprocal functional equation of the form f(2x + y) + f(2x − y) = 4f(x)f(y) [ 4f(y) + 3f(x) 2 3 f(y) 1 3 ] ( 4f(y) 2 3 − f(x) 2 3 )3 in non-Archimedean elds with f(y) ̸= 1 8 f(x). 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.
Authors and Affiliations
K. Ravi, S. Suresh
Keywords
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- EP ID EP322679
- DOI 10.9734/BJMCS/2017/31670
- Views 97
- Downloads 0
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