Presents new inequalities and applications for uniformly δ-geometric convex functions, impacting mathematical analysis.
In this paper, we give some new Jensen, Jensen–Mercer, and Hermite–Hadamard inequalities for uniformly δ-geometric convex functions. In addition, some limit bounds for Caputo–Fabrizio fractional integral operators are established as an application in the case of uniformly δ-geometric convex functions. Some new examples and graphical representations are provided in order to illustrate the validity of our results.
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Sayyari et al. (2026) studied this question.
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