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Hermite–Hadamard type inequalities for the m- and (α, m)-geometrically convex functions

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Abstract

In the paper the authors introduce concepts of the m- and (α, m)-geometrically convex functions and establish some inequalities of Hermite–Hadamard type for these classes of functions.

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Authors and Affiliations

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

    Bo-Yan Xi & Rui-Fang Bai

  2. The Seventh School of Neijiang, Neijiang, 641000, Sichuan, China

    Rui-Fang Bai

  3. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, 454010, Henan, China

    Feng Qi

  4. Department of Mathematics School of Science, Tianjin Polytechnic University, Tianjin, 300387, China

    Feng Qi

Authors
  1. Bo-Yan Xi
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  2. Rui-Fang Bai
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  3. Feng Qi
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Corresponding author

Correspondence to Feng Qi.

Additional information

B.-Y. Xi was supported in part by the National Natural Science Foundation of China under Grant No. 10962004.

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Xi, BY., Bai, RF. & Qi, F. Hermite–Hadamard type inequalities for the m- and (α, m)-geometrically convex functions. Aequat. Math. 84, 261–269 (2012). https://doi.org/10.1007/s00010-011-0114-x

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  • DOI: https://doi.org/10.1007/s00010-011-0114-x

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