Hyers-Ulam stability of an additive-quadratic functional equation

Abstract In this paper, we introduce the following (a, b, c)-mixed type functional equation of the form where a, b, c are positive integers with a > 1, and investigate the solution and the Hyers-Ulam stability of the above functional equation in Banach spaces by using two different methods.

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Auteurs principaux: Govindan,Vediyappan, Park,Choonkil, Pinelas,Sandra, Rassias,Themistocles M.
Langue:English
Publié: Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
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Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200233
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Résumé:Abstract In this paper, we introduce the following (a, b, c)-mixed type functional equation of the form where a, b, c are positive integers with a > 1, and investigate the solution and the Hyers-Ulam stability of the above functional equation in Banach spaces by using two different methods.