Research ArticleNo Access

Various stabilities of reciprocal-septic and reciprocal-octic functional equations

Abasalt Bodaghi

https://orcid.org/0000-0003-0358-4518

Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran

E-mail Address: abasalt.bodaghi@gmail.com

Corresponding author.

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Beri Venkatachalapathy Senthil Kumar

Department of Information Technology, Nizwa College of Technology, Nizwa-611, Oman

E-mail Address: bvskumarmaths@gmail.com

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, and

Ali Bagheri Vakilabad

Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

E-mail Address: alibagheri1385@yahoo.com

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https://doi.org/10.1142/S1793557121500340Cited by:1 (Source: Crossref)

Abstract

The intention of this paper is to prove various stability results of reciprocal-septic and reciprocal-octic functional equations in non-Archimedean fields and nonzero real numbers relevant to Hyers, Rassias, and Găvruţa stability. Appropriate counter-examples are supplied to invalidate the results in the cases of singularities.

Communicated by J. Koppitz

Keywords:

AMSC: 39B52, 39B72, 39B82

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