Some inequalities for differentiable convex functions with applications

2014/06/26 by Mevlüt Tunç, Mevlut Tunc, Tunc, Mevlut +3
Mathematics · #26D15 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.CA #msc:26D15

paper · pdf · doi:10.48550/arxiv.1406.7217

arxiv created 2014/06/26 · openalex publication_date 2014/06/26 · arxiv updated 2014/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, the Authors establish a new identity for differentiable functions. By the well-known Hölder and power mean inequality, they obtain some integral inequalities related to the convex functions and apply these inequalities to special means.

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