Definitions of h-logaritmic, h-geometric and h-multi convex functions and some inequalities related to them

2012/11/12 by M. Emіn Özdemіr, M. Emin Ozdemir, Mevlut Tunc +6
Mathematics · #26A51 (Secondary) #26D15 (Primary) 26D10 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.CA #msc:26A51 #msc:26D10 #msc:26D15

paper · pdf · doi:10.48550/arxiv.1211.2750

8 pages

arxiv created 2012/11/12 · openalex publication_date 2012/11/12 · arxiv updated 2012/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this papaer, we put forward some new definitions and integral inequalities by using fairly elementary analysis.

Citations

• On h-convexity

Related

• On (h-m)-Convexity and Hadamard-Type Inequalities
• Inequalities via φ_h,m-convexity
• Conditional h-convexity with applications
• Some integral inequalities for α-, m-, (α,m)-logarithmically convex functions
• On some integral inequalities for s-logarithmically convex functions and their applications