Browsing by Author "Mehrez, Khaled"

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    Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions With Applications
    (Mdpi, 2019) Mehrez, Khaled; Baleanu, Dumitru; Agarwal, Praveen; Jain, Shilpi
    In this paper, we discuss various estimates to the right-hand (resp. left-hand) side of the Hermite-Hadamard inequality for functions whose absolute values of the second (resp. first) derivatives to positive real powers are log-convex. As an application, we derive certain inequalities involving the q-digamma and q-polygamma functions, respectively. As a consequence, new inequalities for the q-analogue of the harmonic numbers in terms of the q-polygamma functions are derived. Moreover, several inequalities for special means are also considered.