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

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Napoles, Juan E.

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Tbilisi Centre Math Sci

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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.

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Mercer type inequalities, Integral-inequalities, S)-convex, (h, Hermite-hadamard inequality, Caputo fractional derivatives, (h, M)-convex modified functions, Science & technology, Physical sciences, Mathematics

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