Hölder- and Minkowski-type inequalities for generalized quasi-arithmetic means

2025/11/07 by Páles, Zsolt, Pasteczka, Paweł
Mathematics · Computer Science · #Functional Equations Stability Results #Mathematical Inequalities and Applications #Optimization and Variational Analysis

paper · doi:10.48550/arxiv.2511.05411

Abstract

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.

Citations

• Equality and comparison of generalized quasiarithmetic means

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