Derives estimates for Jensen's inequality in divided differences using convex functions, suggesting broader applicability in mathematical analysis.
In this paper, we use ( m +4)-convex functions to derive an estimate for Jensen’s inequality in the context of divided differences. In addition, we extend these results for ( h, g ; α − n )-convex functions. Finally, we present some results for g -convex functions, ( h, g )-convex functions and provide a discussion and examples concerning h -convex functions.
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Aras-Gazić et al. (2026) studied this question.
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