A Generalised Trapezoid Type Inequality for Convex Functions

2003/05/27 by Sever S Dragomir, Dragomir, Sever Silvestru
Decision Sciences · Mathematics · #26D15 #41A55 #65D32 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Multi-Criteria Decision Making #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/0305374

openalex publication_date 2003/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure are also mentioned.

Related

• New Inequalities Of Hermite-Hadamard Type For Convex Functions With\n Applications
• A Generalization of Hermite-Hadamard's Inequality
• New general integral inequality for convex functions and applications
• An Ostrowski Type Inequality for Convex Functions
• HERMITE-HADAMARD-TYPE INQUALITIES FOR NEW DIFFERENT KINDS OF CONVEX DOMINATED FUNCTIONS