Some new convex integral inequalities based on a modern result
Christophe CHESNEAU
Received July 5, 2025. Published online January 23, 2026.
Abstract: We present new convex integral inequalities based on a result by M. M. Iddrisu, C. A. Okpoti and K. A. Gbolagade (2014a), (2014b). Specifically, we examine cases in which one of the functions is monotonic and demonstrate that the aforementioned result can be improved under this condition. We also consider scenarios in which the derivative of one of the functions is convex. Complete proofs of all results are provided.
Keywords: convex function; integral inequalities; Jensen integral inequality; primitives
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Affiliations: Christophe Chesneau, University of Caen-Normandie, Esplanade de la Paix, 14032 Caen, France, e-mail: christophe.chesneau@gmail.com
