Stability of a Logarithmic Functional Equation in Distributions on a Restricted Domain

Jaeyoung Chung and Prasanna K. Sahoo

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

Let be the set of real numbers, , , and . As classical and versions of the Hyers-Ulam stability of the logarithmic type functional equation in a restricted domain, we consider the following inequalities: , and in the sectors . As consequences of the results, we obtain asymptotic behaviors of the previous inequalities. We also consider its distributional version , where , , , , , and the inequality means that for all test functions .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:751680

DOI: 10.1155/2013/751680

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