On Hermite-Hadamard type integral inequalities for n-times differentiable m- and (α,m)-logarithmically convex functions-Reference-Cited by-同舟云学术

On Hermite-Hadamard type integral inequalities for n-times differentiable m- and (α,m)-logarithmically convex functions

Published:2016 Issue:11 Volume:30 Page:3101-3114
ISSN:0354-5180
Container-title:Filomat
language:en
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Author:

Latif M.A.¹,Dragomir S.S.²,Momoniat E.¹

Affiliation:

1. University of the Witwatersrand, School of Computational and Applied Mathematics, Wits, Johannesburg, South Africa

2. Victoria University, School of Engineering and Science, Melbourne City, Australia + University of the Witwatersrand, School of Computational and Applied Mathematics, Wits, Johannesburg, South Africa

Abstract

In this paper, we establish Hermite-Hadamard type inequalities for functions whose nth derivatives are m- and (?;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 (?,m)-logarithmically convex functions as special cases.

Publisher

National Library of Serbia

Subject

General Mathematics

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