"On Hermite-Hadamard Type Integral Inequalities for n-times Differentia" by Muhammad Amer Latif and Sever Silvestru Dragomir
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Applied Mathematics & Information Sciences

Author Country (or Countries)

South Africa

Abstract

In this paper, we establish Hermite-Hadamard type inequalities for functions whose nth derivatives are s-logarithmically convex functions. From our results, several results for classical trapezoidal and classical midpoint inequalities are obtained in terms second derivatives that are s-logarithmically convex functions as special cases. Finally, applications to special means of the obtained results are given.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100514

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