On a Stability of Logarithmic-Type Functional Equation in Schwartz Distributions

Jae-Young Chung

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

Abstract:

We prove the Hyers-Ulam stability of the logarithmic functional equation of Heuvers and Kannappan , in both classical and distributional senses. As a classical sense, the Hyers-Ulam stability of the inequality will be proved, where . As a distributional analogue of the above inequality, the stability of inequality will be proved, where and denotes the pullback of distributions.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:435310

DOI: 10.1155/2012/435310

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