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关于m-凸函数若干结果加权形式的推广 被引量:1

EXTENSIONS OF THE WEIGHTED FORMS OF SEVERAL RESULTS ON m-CONVEX FUNCTION
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摘要 本文研究了m-凸函数的若干结果加权的问题.利用积分不等式对称变换式的方法,获得了Hermite-Hadamard不等式的4个结论,推广了m-凸函数的Hermite-Hadamard的加权结果. In this article, we discusse several results on the weighted forms of the m-convex function. By applying the symmetry transform which is used in integral inequality, we obtain four conclusions on the Hermite-Hadamard weighted inequality and extend the Hermite-Hadamard weighted results of the m-convex function.
出处 《数学杂志》 CSCD 北大核心 2011年第4期705-710,共6页 Journal of Mathematics
基金 陕西省精品课建设项目(2005-80) 陕西省重点专业建设项目(2008-16) 安康学院科技重点项目(2008akxy029) 安康学院重点扶持学科<基础数学>建设项目(AZXZ0107)
关键词 加权不等式 Hermite-Hadamard型 m-凸函数 weighted inequality Hermite-Hadamard type m-convex functions
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参考文献6

  • 1Dragomir S S. On some new inequalities of Hermite-Hadamard type for m-convex functions [J]. Tamkang J. Math, 2002, 33(1): 55-65.
  • 2Dragomir S S. Two mappings in connection to Hadamard's inequaliyies[J]. J. Math. Anal. App., 1992, 167(1): 49-56.
  • 3Dragomir S S, Cho Y J, Kim S S. Inequalities of Hadamard's type for Lipschitzian mappings and their applications[J]. J. Math. Anal. App., 2000, 245(2): 489-501.
  • 4Yang G S, Tseng K L. On certain integral inequalities relatated to Hermited-Hadamard inequali- ties[J]. J. Math. Anal. App., 1999, 239(1): 180-187.
  • 5Yang G S, Tseng K L. Inequalities of Hadamard's type for Lipschitzian mappings[J]. J. Math. Anal. App., 2001, 260(1): 230-238.
  • 6Yang W H. A generalization of Hadamard's inequality for convex functions[J]. Appl. Math. Letters, 2008, 21(3): 254-257.

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