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Some Hermite–Hadamard type inequalities for geometrically quasi-convex functions

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Abstract

In the paper, we introduce a new concept ‘geometrically quasi-convex function’ and establish some Hermite–Hadamard type inequalities for functions whose derivatives are of geometric quasi-convexity.

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Acknowledgments

This work was partially supported by the NNSF under Grant No. 11361038 of China and by the Foundation of Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region under Grant No. NJZY13159, China. The authors would like to thank the anonymous referees for their careful corrections and valuable comments on the original version of this paper.

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  1. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, China

    FENG QI & BO-YAN XI

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  1. FENG QI
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  2. BO-YAN XI
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Correspondence to FENG QI.

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QI, F., XI, BY. Some Hermite–Hadamard type inequalities for geometrically quasi-convex functions. Proc Math Sci 124, 333–342 (2014). https://doi.org/10.1007/s12044-014-0182-7

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