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On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable m- and (alpha, m)-Logarithmically Convex Functions
Journal article   Open access  Peer reviewed

On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable m- and (alpha, m)-Logarithmically Convex Functions

M. A. Latif, S. S. Dragomir and E. Momoniat
Filomat, Vol.30(11), pp.3101-3114
01/01/2016
DOI: https://doi.org/10.2298/FIL1611101L

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we establish Hermite-Hadamard type inequalities for functions whose nth derivatives are m- and (alpha, m)-logarithmically convex functions. From our results, several results for classical trapezoidal and classical midpoint inequalities are obtained in terms second derivatives that are m- and (alpha, m)-logarithmically convex functions as special cases.
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https://doi.org/10.2298/FIL1611101LView
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