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Bibliographic Details
Main Authors: Páles, Zsolt, Pasteczka, Paweł
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.05411
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Table of Contents:
  • The purpose of this paper is to establish several necessary and sufficient conditions to ensure the validity of a general functional inequality in terms of generalized quasi-arithmetic means. In particular cases, we consider Hölder-, Minkowski-, and Jensen-type inequalities. Generalized quasi-arithmetic means are defined by taking strictly monotone generating functions instead of strictly monotone and continuous ones.