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Hermite-Hadamard type integral inequalities for geometric-arithmetically s -convex functions

机译:几何-算术s凸函数的Hermite-Hadamard型积分不等式

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摘要

In the paper, the authors introduce a notion "geometric-arithmetically s-convex function", establish some inequalities of Hermite-Hadamard type for geometric-arithmetically s-convex functions, and apply these inequalities to construct inequalities for special means.
机译:在本文中,作者引入了“几何-算术s凸函数”概念,为几何-算术s凸函数建立了Hermite-Hadamard类型的一些不等式,并将这些不等式用于构造特殊方法的不等式。

著录项

  • 来源
    《Analysis》 |2013年第2期|197-208|共12页
  • 作者单位

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

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

    Department of Mathematics School of Science Tianjin Polytechnic University Tianjin City, 300387 China,School of Mathematics and Informatics Henan Polytechnic University Jiaozuo City Henan Province, 454010 China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Integral inequality; Hermite-Hadamard type integral inequality; geometric-arithmetically s-convex function; Hoelder inequality;

    机译:积分不平等;Hermite-Hadamard型积分不等式;几何-算术s-凸函数;霍尔德不等式;

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