Certain Hermite–Hadamard Inequalities for Logarithmically Convex Functions with Applications
Abstract
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...
Paper Details
Title
Certain Hermite–Hadamard Inequalities for Logarithmically Convex Functions with Applications
Published Date
Feb 11, 2019
Journal
Volume
7
Issue
2
Pages
163 - 163
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