Solution and Stability of a Functional Equation Originating From Consecutive Terms of a Geometric Progression


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Authors

  • M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai, TamilNadu, India
  • E. Sathya Department of Mathematics, Government Arts College, Tiruvannamalai, TamilNadu, India
  • T. Namachivayam Department of Mathematics, Government Arts College, Tiruvannamalai, TamilNadu, India

Keywords:

Logarithmic functional equations, generalized Ulam- Hyers stability

Abstract

In this paper, the author has proved the generalized Ulam-Hyers stability of a new type of the functional equation \begin{align*} \ell(uv)+\displaystyle{\ell\left(\frac{u}{v}\right)}=2\ell(u) \end{align*} with $v \ne 0$ which is originating from consecutive terms of a geometric progression. An application of this functional equation is also studied.

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Published

01-12-2016

How to Cite

M. Arunkumar, E. Sathya, & T. Namachivayam. (2016). Solution and Stability of a Functional Equation Originating From Consecutive Terms of a Geometric Progression. International Journal of Mathematics And Its Applications, 4(4 (Special Issue), 33–42. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1418

Issue

Vol. 4 No. 4 (Special Issue) (2016)

Section

Research Article

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