On the stability of radical septic functional equations

Emanuel Guariglia and Kandhasamy Tamilvanan
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Emanuel Guariglia: Institute of Biosciences, Letters and Exact Sciences, São Paulo State University (UNESP), São José do Rio Preto, SP 15054-000, Brazil
Kandhasamy Tamilvanan: Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamil Nadu 635 001, India

Mathematics, 2020, vol. 8, issue 12, 1-15

Abstract: This paper deals with the approximate solution of the following functional equation f x 7 + y 7 7 = f ( x ) + f ( y ) , where f is a mapping from R into a normed vector space. We show stability results of this equation in quasi- β -Banach spaces and ( β , p ) -Banach spaces. We also prove the nonstability of the previous functional equation in a relevant case.

Keywords: radical functional equation; septic functional equation; Hyers-Ulam stability; quasi- ? -Banach spaces; ( ? , p )-Banach spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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