New extensions of Hermite-Hadamard inequality using k-fractional Caputo derivatives

J. E. Nápoles, B. Bayraktar

By means of Caputo k-fractional derivatives, in this work, we obtain new extensions of the Hermite-Hadamard inequality for modified (h,m)-convex functions of the second type. At work, we show that some known results from the literature can be obtained as particular cases of the results presented here. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(2) (2023), pp. 11-28