Approximation of Jensen type reciprocal functional equation using fixed point technique

Authors

  • Beri Venkatachalapathy Senthil Kumar C. Abdul Hakeem College of Engineering & Technology Department of Mathematics
  • Abasalt Bodaghi Islamic Azad University Department of Mathematics http://orcid.org/0000-0003-0358-4518

DOI:

https://doi.org/10.5269/bspm.v38i3.36992

Keywords:

Generalized Ulam-Hyers stability, Jensen functional equation, Reciprocal functional equation

Abstract

In this study, we propose a new rational functional equation
Jr((x+y)/2)=2Jr(x)Jr(y)/[Jr(x)+Jr(y)]
and obtain its solution. We also investigate its various stabilities by a fixed point method

Author Biography

  • Abasalt Bodaghi, Islamic Azad University Department of Mathematics
    Associate Professor, Department of Mathematics, Garmsar Branch

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Published

2019-02-18

Issue

Vol. 38 No. 3 (2020)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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