Refining the integral Jensen inequality for finite signed measures using majorization

• DOI: 10.1007/s13398-024-01627-7
• Publication Date: 2024-06-18T10:02:06Z
• Authors: László Horváth
• Keywords: Majorization; Refining (metallurgy)

Abstract Among inequalities that use the concept of convexity, Jensen-type and majorization-type are significant fundamental. An important widely researched area in study is refinement such inequalities. In this paper, we provide a general method for refining integral Jensen inequality finite signed measures using majorization Under conditions considered results unique, even measures, they give new approach. We also interesting specific refinements, some which relate to Jensen–Steffensen’s inequality. A extended version obtained paper.