Publication: New extensions of hermite-hadamard inequality using k-fractional caputo derivatives
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Bayraktar, Bahtiyar
Authors
Napoles, Juan E.
Advisor
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Tbilisi Centre Math Sci
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Abstract
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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Keywords
Mercer type inequalities, Integral-inequalities, S)-convex, (h, Hermite-hadamard inequality, Caputo fractional derivatives, (h, M)-convex modified functions, Science & technology, Physical sciences, Mathematics