A square iterative roots of some mean-type mappings

Autor:	Dorota Głazowska, Justyna Jarczyk, Witold Jarczyk
Rok vydání:	2017
Předmět:	Discrete mathematics Algebra and Number Theory Applied Mathematics 010102 general mathematics Monotonic function Type (model theory) 01 natural sciences Square (algebra) 010101 applied mathematics Iterated function Functional equation 0101 mathematics Analysis Mathematics
Zdroj:	Journal of Difference Equations and Applications. 24:729-735
ISSN:	1563-5120 1023-6198
DOI:	10.1080/10236198.2017.1326913
Popis:	We determine all pairs Aμφ,Aνψ of weighted quasi-arithmetic means being square iterative roots of another pair Asf,Atg, that is we find all continuous strictly monotonic functions f,g,φ,ψ and parameters s,t,μ,ν∈(0,1) such that the equationAμφ,Aνψ∘Aμφ,Aνψ=Asf,Atgis satisfied.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4f3eb55386dca3fb3d08399329865bbc https://doi.org/10.1080/10236198.2017.1326913 Zobrazit plný text záznamu