Refinements Jensen's Inequality and Some Their Applications

Abstract

This paper aims to present a new refinement of the Jensen inequality specifically for convex functions. Building on this refinement, the paper derives various related inequalities, with a particular focus on Bullen's inequality and Ostrowski's inequality. Furthermore, it explores practical applications of these derived inequalities in the context of mean inequalities, providing a deeper understanding and broader utility of these mathematical concepts.

Keywords

• Convex function
• Bullen inequality
• Jensen inequality
• Ostrowski inequality and Special means

References

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