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Some new inequalities of Hermite-Hadamard type for w-time differentiable functions which are m -convex

机译:w阶微分函数的Hermite-Hadamard类型的一些新不等式

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摘要

In the paper, by setting up an integral identity and using Holder integral inequality, the authors establish some new inequalities of Hermite-Hadamard type for n-time differentiable and m-convex functions and discuss applications of these inequalities to special means.
机译:在本文中,作者通过建立积分恒等式并使用Holder积分不等式,建立了n次可微和m凸函数的Hermite-Hadamard型新不等式,并讨论了这些不等式在特殊方法上的应用。

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  • 来源
    《Analysis 》 |2012年第3期| p.247-262| 共16页
  • 作者单位

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

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

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

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

    hermite-hadamard integral inequality; integral identity; m-convex function; differentiable function; holder integral inequality; application; mean;

    机译:Hermite-Hadamard积分不等式;整体身份;m-凸函数;可区分的功能;持有人积分不等式;应用;意思;

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