期刊文献+

加权Ostrowski型不等式 被引量:1

Some Weighted Ostrowski Type Inequalities
在线阅读 下载PDF
导出
摘要 对于其导数的绝对值的幂具有凸性的函数,给出一些加权的Ostrowski型不等式.对于具有一阶有界导函数的函数,也给出一个加权的Ostrowski型不等式. Some weighted Ostrowski type inequalities for functions which first derivative in absolute value aroused to the qth(q≥1 ) power are convex or concave are established. The weighted Ostrowski type inequalities for functions which first derivative are bounded, are also established.
出处 《湖南理工学院学报(自然科学版)》 CAS 2013年第4期1-7,35,共8页 Journal of Hunan Institute of Science and Technology(Natural Sciences)
关键词 Ostrowski型不等式 凸函数 凹函数 可导函数 有界函数 Ostrowski type inequality convex fianctions concave functions differentiable functions Bounded functions
  • 相关文献

参考文献5

  • 1S. S. Dragomir and Th. M. Rassias (Ed.), Ostrowski Type Inequalities and Applications in Numerical Integration[J]. Kluwer Academic Publishers; Dordrecht, 2002.
  • 2S. S. Dragomir, Some companions of Ostrowski's inequality for absolutely continuous functions and applications[J], Bull Korean Math. Sot., 2005,42(2) 213-230.
  • 3Alomari M W. A companion of Ostrowski's inequality with applications[J].Trans. J. Math. Mech., 2011(3): 9-14.
  • 4Cheng X L, Sun J. A note on the perturbed trapezoid inequality[J].J.Inequal. Pure Appl. Math., 2002,3(2), Article 29.
  • 5时统业.关于加权Hermite-Hadamard不等式[J].湖南理工学院学报(自然科学版),2012,25(1):8-11. 被引量:5

二级参考文献3

  • 1L. Fejer, Uber die Fourierreihen, I I, Math. Naturwiss, Anz. Ungar. Akad. wiss., 1906(24): 369-390.
  • 2S.S. dragomir and c.e.m pearce. Selected Topics on the Hermite Hadamard Inequality and Applications, RGMIA Monographs, Victoria University, 2000. [ONLINE:http://www.staff.vu.edu.au/RGMIA/monographs/hermite_hadamard.html]. 29-35.
  • 3仇惠玲.关于Hermite—Hadamard不等式[J].江苏教育学院学报(自然科学版),2003(1):37-39. 被引量:3

共引文献4

同被引文献4

引证文献1

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部