Almost additive-quadratic-cubic mappings in modular spaces

Autor:	Abolfazl Niazi Motlagh, Abasalt Bodaghi, Mohammad Javad Maghsoudi, Majid Karami
Rok vydání:	2019
Předmět:	Class (set theory) Pure mathematics business.industry General Mathematics 010102 general mathematics Modular form Modular design Space (mathematics) 01 natural sciences Stability (probability) 010101 applied mathematics Quadratic equation 0101 mathematics business Counterexample Mathematics
Zdroj:	Revista de la Unión Matemática Argentina. :359-379
ISSN:	1669-9637 0041-6932
Popis:	We introduce and obtain the general solution of a class of generalized mixed additive, quadratic and cubic functional equations. We investigate the stability of such modified functional equations in the modular space Xρ by applying the ∆2-condition and the Fatou property (in some results) on the modular function ρ. Furthermore, a counterexample for the even case (quadratic mapping) is presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f2b6fd152f0754297ccfd11ddb564ffc https://doi.org/10.33044/revuma.v60n2a05 Zobrazit plný text záznamu