Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions

In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer (HHM) type inequalities. We discuss special cases of our main results and give new inequalities of HH and HHM type for different fractional integrals like, Riemann-Liouville (RL) fractional integrals, k-Riemann-Liouville (k-RL) fractional integrals, conformable fractional integrals and fractional integrals of exponential kernel.National Natural Sciences Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971241]We want to give thanks to the Direccion de investigacion from Pontificia Universidad Catolica del Ecuador for technical support to our research project entitled: Algunas desigualdades integrales para funciones convexas generalizadas y aplicaciones. This work is partially supported by National Natural Sciences Foundation of China (Grant No. 11971241) .WOS:0006858928000172-s2.0-8510836509