Pexider invariance equation for embeddable mean-type mappings

2024/01/09 by Paweł Pasteczka, Pasteczka, Paweł
Mathematics · #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Equations Stability Results #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2401.04466

openalex publication_date 2024/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that whenever M₁,…,M_n\colon I^k → I, (n,k ∈ ℕ) are symmetric, continuous means on the interval I and S₁,…,S_m\colon I^k → I (m

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