Establishes Bullen-Mercer inequalities for h-convex functions, suggesting new methods for bounding function behavior.
This study establishes Bullen-Mercer type inequalities for h-convex functions that use Riemann-Liouville fractional operators. The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations based on the B-function. Moreover, new results on Bullen-Mercer-type inequalities are presented for bounded and Lipschitzian functions.
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Hallouz et al. (2025) studied this question.
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