Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields
type: Item
instance of: scholarly article
title: Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields
zbMATH Open document ID: 1331.39023
published in: Arabian Journal of Mathematics
publication date: 2015-11-06T00:00:00Z
review text: The authors obtain the solution of a generalized reciprocal-type functional equation in two variables of the form \[ r(x+y)=\frac{kr(x+(k-1)y)r((k-1)x+y)}{r(x+(k-1)y)+r((k-1)x+y)} \] in non-Archimedean fields, where \(k>2\) is a positive integer. They also investigate the generalized Hyers-Ulam-Rassias stability of the above functional equation controlled by a mixed product-sum of powers of norms.
reviewed by: Maryam Amyari
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 46S10
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 6505712
zbMATH Keywords: non-Archimedean fields
zbMATH Keywords: reciprocal-type functional equation
zbMATH Keywords: generalized Hyers-Ulam-Rassias stability
author: K. Ravi
author: J. M. Rassias
author: B. V. Senthil Kumar
MaRDI profile type: Publication
full work available at URL: s40065-014-0121-6
OpenAlex ID: W2024029025
Wikidata QID: Q59431353
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DOI: 10.1007/S40065-014-0121-6
description: scientific article; zbMATH DE number 6505712