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拟凸函数和Hadamard不等式 被引量:3

Quasi-convex Functions And Hadamard's Inequality
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摘要 建立了若干关于拟凸函数的新的Hadamard型不等式,所得结果包含了某些文献中的结果作为我们不等式的特例. In this paper we establish some new inequalities of Hadamard's type for quasi- convex functions The results obtained include earlier known results in existing literature as special cases of our inequalities.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第17期229-235,共7页 Mathematics in Practice and Theory
基金 广东石油化工学院自然科学基金(LK201002)
关键词 HADAMARD不等式 拟凸函数 加权积分 Hadamard inequality quasi-convex fwnction weignted integral
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参考文献12

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同被引文献30

  • 1吴善和.对数凸函数与琴生型不等式[J].高等数学研究,2004,7(5):61-64. 被引量:23
  • 2吴善和.rP—凸函数与琴生型不等式[J].数学的实践与认识,2005,35(3):220-228. 被引量:21
  • 3邓勇平,吴善和.Hadamard型不等式的若干推广[J].贵州师范大学学报(自然科学版),2007,25(1):63-67. 被引量:20
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  • 6Noor M A. Hadamard integral inequalities for product of two preinvex function [ J ]. Nonl Anal Forum, 2009, 14: 167-173.
  • 7Dragomir S S, Mond B. Integral inequalities of Hadamard' type for log-convex functions [ J ]. Demonstratio Math,1998,31(2):354-364.
  • 8Dragomir S S. Two mappings in connection to Hadamard' s inequalities [ J ]. J Math Anal Appl, 1992,167:49-56.
  • 9柯源,杨斌,胡明旸.Hermite-Hadamard不等式的推广[J].数学的实践与认识,2007,37(23):161-164. 被引量:19
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