• Journal of applied mathematics & informatics
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• v.29 no.3_4
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• pp.859-868
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• 2011

In this article, by considering error inequalities, we propose a new way to treat the Fej$\'{e}$r and Hermite-Hadamard inequalities involving n knots and m-th derivative on H$\"{o}$lder spaces. Moreover, some new related estimations are also given.

• Korean Journal of Mathematics
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• v.27 no.4
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• pp.843-860
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• 2019

In the article, we present several new Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for the exponentially (ħ, m)-convex functions via an extended generalized Mittag-Leffler function. As applications, some variants for certain typ e of fractional integral operators are established and some remarkable special cases of our results are also have been obtained.