Modular Stabilities of a Reciprocal Second Power Functional Equation

Authors

  • B. V. Senthil Kumar Nizwa College of Technology
  • Hemen Dutta Gauhati University
  • S. Sabarinathan SRM Institute of Science & Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i5.3709

Keywords:

Reciprocal functional equation, quadratic functional equation, HUGR stability, non-Archimedean field

Abstract

In the present work, we propose a dierent reciprocal second power Functional Equation (FE) which involves the arguments of functions in rational form and determine its stabilities in the setting of modular spaces with and without using Fatou property. We also prove the stabilities in beta-homogenous spaces. As an application, we associate this equation with the electrostatic forces of attraction between unit charges in various cases using Coloumb's law.

Downloads

Published

2020-12-27

Issue

Section

Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

How to Cite

Modular Stabilities of a Reciprocal Second Power Functional Equation. (2020). European Journal of Pure and Applied Mathematics, 13(5), 1162-1175. https://doi.org/10.29020/nybg.ejpam.v13i5.3709