期刊文献+

与凸函数有关的两个加权Hadamard型不等式 被引量:2

Two Weighted Hadamard Inequalities Relating to Convex Function
下载PDF
导出
摘要 建立了与凸函数的加权Hadamard型不等式有关的恒等式,然后用简单的数学分析的方法导出一些新的关于可导凸函数和凹函数的一些加权Hadamard型不等式,推广了一些已知结果. Based on the identities relating to the weighted inequalities of Hermite-Hadamard integral inequality for convex functions, some inequalities for differentiable convex and concave mappings are generalized.
出处 《湖南理工学院学报(自然科学版)》 CAS 2013年第1期1-5,30,共6页 Journal of Hunan Institute of Science and Technology(Natural Sciences)
关键词 Hermite—Hadamard型不等式 凸函数 凹函数 积分不等式 可导函数 Hermite-Hadamard inequality convex functions concave functions integral inequalities differentiable mappings
  • 相关文献

参考文献7

  • 1lOrmacl U S. Improvement and further generalization of inequalities for differentiable mappings and Applications[J]. Computers and Math. with Appl, 2008, 55(3): 485-493. 被引量:1
  • 2Kirmacl U S. Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula[J]. Appl. Math. Comput, 2004, 147:137-146. 被引量:1
  • 3Klrro, acl U S, Ozdemir M.E. On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula[J]. Appl. Math Comput, 2004, 153:361-368. 被引量:1
  • 4Dragomir S S, Agarwal R P. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula[J] Appl. Math. Lett, 1998, 11 (5): 91-95. 被引量:1
  • 5Pearce C E M, Pecaric J. Inequalities for differentiable mappings with application to special means and quadrature formula[J]. Appl. Math. Lett, 2000, 13 51-55. 被引量:1
  • 6Fej6r L. Ober die Fourierreihen II, Math.Naturwiss, Anz. Ungar. Akad. Wiss, 1906, 24:369-390. 被引量:1
  • 7Yang G S, Hwang D Y, Tseng K L. Some inequalities for differentiable convex and concave mappings[J]. Computer Methods in Applied Mechanics and Engineering. 2004, 47:207-216. 被引量:1

同被引文献10

  • 1Kumaci U S. Improvement and further generalization of inequalities for differentiable mappings and Applications. Computers and Math. with Appl, 2008, 55(3): 485-493. 被引量:1
  • 2Kirmaci U S. Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula. Appl. Math. Comput, 2004, 147:137-146. 被引量:1
  • 3Karrnaci U S, Ozdemir M.E. On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula. Appl. Math. Comput, 2004, 153:361-368. 被引量:1
  • 4Dragomir S S, Agarwal R P. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. Appl. Math. Lett., 1998, 11 (5): 91-95. 被引量:1
  • 5Pcarce C E M, Pecaric J. Inequalities for differentiable mappings with application to special means and quadrature formula. Appl. Math. Lett., 2000, 13: 51-55. 被引量:1
  • 6Fejer L. Uber die Fourierreihen II, Math. Naturwiss, Anz. Ungar. Akad. Wiss., 1906, 24:369-390. 被引量:1
  • 7Yang G S, Hwang D Y, Tseng K L. Some inequalities for differentiable convex and concave mappings. Computer Methods in Applied Mechanics and Engineering. 2004, 47:207-216. 被引量:1
  • 8Sarikaya M Z,Saglam A, Yildinm H. New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are convex andquasi-convex[J]. International Journal of Open Problems in Computer Science and Mathematics (IJOPCM), 2012, 5(3). 被引量:1
  • 9Fejer L. Uber die Fourierreihen II,Math. Naturwiss, Anz. Ungar. Akad. Wiss.,1906, 24: 369.390. 被引量:1
  • 10Sarikaya M Z, Saglam A, Yildinm H. Some new integral inequalities for twice differentiable convex mappings. arXiv:1005.0453vl [math.CA] 4 May2010 . 被引量:1

引证文献2

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