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Generalizations of Hermite-Hadamard inequality to n-time differentiable functions which are s -convex in the second sense

机译:Hermite-Hadamard不等式对第二意义上的s-凸的n次可微函数的推广

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摘要

In the paper, the famous Hermite-Hadamard integral inequality for convex functions is generalized to and refined as the ones for n-time differentiable functions which are s-convex in the second sense, and some known results are improved.
机译:在本文中,将著名的凸函数的Hermite-Hadamard积分不等式推广为第二个s凸的n次可微函数的积分不等式,并将其改进,并且改进了一些已知的结果。

著录项

  • 来源
    《Analysis》 |2012年第3期|p.209-220|共12页
  • 作者单位

    Department of Information Engineering Weihai Vocational College Weihai City, 264210 Shandong Province China;

    Department of Information Engineering Weihai Vocational College Weihai City, 264210 Shandong Province China;

    College of Information and Business Zhongyuan University of Technology Zhengzhou City Henan Province, 450007 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

    hermite-hadamard integral inequality; differentiable function; convex function; s-convex function in the second sense; generalization; refinement;

    机译:Hermite-Hadamard积分不等式;可区分的功能;凸函数第二种意义上的s凸函数;概括;细化;

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