2023/10/30 by Paweł Pasteczka, Pasteczka, Paweł
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2310.19399
openalex publication_date 2023/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize the result of (Witkowski, 2014) which binds orders of homogeneous, symmetric means M,N,K \colonℝ+2 → ℝ+ of power growth that satisfy the invariance equation K(M(x,y),N(x,y))=K(x,y) to the broader class of means. Moreover, we define the lower- and the upper-order which gives us insight into the order of the solution of this equation in the case when means do not belong to this class.