New extensions of hermite-hadamard inequality using k-fractional caputo derivatives

Napoles, Juan E.2024-09-172024-09-172023-06-01https://doi.org/10.32513/asetmj/193220082314https://hdl.handle.net/11452/44802By 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.enMercer type inequalitiesIntegral-inequalitiesS)-convex(hHermite-hadamard inequalityCaputo fractional derivatives(hM)-convex modified functionsScience & technologyPhysical sciencesMathematicsNew extensions of hermite-hadamard inequality using k-fractional caputo derivativesArticle001024008900002112816210.32513/asetmj/193220082314