Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity

Muhammad Amer Latif; Sever Silvestru Dragomir

doi:10.1515/gmj-2015-0053

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Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity

Journal article

Peer reviewed

Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity

Muhammad Amer Latif and Sever Silvestru Dragomir

Georgian mathematical journal, Vol.23(1), pp.97-104

01/03/2016

DOI: https://doi.org/10.1515/gmj-2015-0053

Abstract

26A51

26B12

26D15

41A55

Hermite–Hadamard's inequality

Hölder's integral inequality

invex set

preinvex function

In this paper, we establish a new integral identity for -times differentiable functions defined on an invex subset of ℝ. Hermite–Hadamard type integral inequalities for -times differentiable preinvex functions are then established by using this identity and Hölder's inequality.

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Title: Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity
Creators - without role: Muhammad Amer Latif - University of the Witwatersrand
Sever Silvestru Dragomir - University of the Witwatersrand
Publication Details: Georgian mathematical journal, Vol.23(1), pp.97-104
Publisher: De Gruyter
Number of pages: 8
Identifiers: 9919953608331
Academic Unit: King Faisal University
Language: English
Resource Type: Journal article