Alshehri, Maryam Gharamah AliHyder, Abd-AllahBudak, HuseyinBarakat, Mohamed A.2025-10-112025-10-1120242314-88962314-8888https://doi.org/10.1155/2024/6691058https://hdl.handle.net/20.500.12684/21789This article's objective is to introduce a new double inequality based on the Jensen-Mercer JM inequality, known as the Hermite-Hadamard-Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities. Moreover, in addition to the JM inequality, we also use the H & ouml;lder inequality and the power mean inequality. Finally, a few examples are given to highlight the main points of our outcomes.en10.1155/2024/6691058info:eu-repo/semantics/openAccessArticle20242-s2.0-85201186132WOS:001289887500001Q1Q1