Some new hermite-hadamard type inequalities and their applications

By Artion Kashuri, Rozana Liko. Studia scientiarum mathematicarum Hungarica (Print), 2019

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In this paper first, we prove some new generalizations of Hermite-Hadamard type inequalities for the convex functionfand for (s, m)-convex functionfin the second sense in conformable fractional integral forms. Second, by using five new integral identities, we present some new Riemann-Liouville fractional trapezoid and midpoint type inequalities. Third, using these results, we present applications tof-divergence measures. At the end, some new bounds for special means of different positive real numbers and new error estimates for the trapezoidal and midpoint formula are provided as well. These results give us the generalizations of the earlier results.

Subfields: Applied Mathematics

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