Approximation of Jensen type reciprocal functional equation using fixed point technique

  • 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

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Author Biography

Abasalt Bodaghi, Islamic Azad University Department of Mathematics
Associate Professor, Department of Mathematics, Garmsar Branch
Published
2019-02-18
Issue
Vol 38 No 3 (2020)
Section
Research Articles

Copyright (c) 2019 Boletim da Sociedade Paranaense de Matemática

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