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Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups

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Abstract

For a Carnot group G, we establish the relationship between extended mean values and r-convex functions which is introduced in this paper, which is a class of inequalities of Hadamard type for r-convex function on G.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China

    Ming-bao Sun & Xiao-ping Yang

  2. Department of Applied Mathematics, Hunan Institute of Science and Technology, Yueyang 414000, Hunan, China

    Ming-bao Sun

Authors
  1. Ming-bao Sun
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  2. Xiao-ping Yang
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Corresponding author

Correspondence to Ming-bao Sun.

Additional information

Supported in part by SF for Pure Research of Natural Sciences of the Education Department of Hunan Province (No. 2000c315), and NNSF (No. 10271071) and specialized Research Fund for Doctoral Program of Higher Education of China

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Sun, Mb., Yang, Xp. Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups. Acta Mathematicae Applicatae Sinica, English Series 20, 123–132 (2004). https://doi.org/10.1007/s10255-004-0155-1

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  • DOI: https://doi.org/10.1007/s10255-004-0155-1

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