Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
Maryam Gharamah Ali Alshehri,
Abd-Allah Hyder,
Hüseyin Budak
et al.
Abstract:This 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 Hölder inequality and the power mean inequality. Finally, a few examples are given to highlight the main points of our outcomes.
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