Stabilities and Non-Stabilities of a New Reciprocal Functional Equation

B. V. Senthil Kumar; J.M. Rassias; S. Idir; S. Sabarinathan

doi:10.2478/tmmp-2022-0005

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Stabilities and Non-Stabilities of a New Reciprocal Functional Equation

Tatra Mountains Mathematical Publications

Volume 81 (2022): Issue 1 (November 2022)

By: B. V. Senthil Kumar, J.M. Rassias, S. Idir and S. Sabarinathan

Open Access

|Nov 2022

Abstract

The intention of this study is to present some stronger results by investigating Ulam-JRassias product stability and Ulam-JRassias mixed-type sum-product stability of a new reciprocal functional equation. Also, a suitable counter-example is presented to show the failure of stability result for the singular case.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2022-0005 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 81 - 88

Submitted on: Sep 13, 2021

Published on: Nov 29, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

reciprocal functional equation,

Ulam-JRassias stability,

Ulam-JRassias mixed-type sum-product stability

Related subjects:

Mathematics,

General mathematics

© 2022 B. V. Senthil Kumar, J.M. Rassias, S. Idir, S. Sabarinathan, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 81 (2022): Issue 1 (November 2022)