期刊文献+

有关函数凸性的几个新概念及其性质 被引量:1

Some New Notions Related to the Convex Functions and Their Properties
下载PDF
导出
摘要 提出了刻画函数凸性的几个新概念,研究了它们的若干性质,获得了这些新概念之间的蕴含关系,给出了这些新概念在可靠性理论中的几个应用. In this paper, some new notions related to the convexity of a real function are introduced, and some properties of these new notions are investigated. Applications of the new notions and their new properties in the theory of reliability are discussed as well.
机构地区 河西学院数学系
出处 《河西学院学报》 2006年第5期18-23,共6页 Journal of Hexi University
关键词 凸函数 平均凸函数 星形函数 超可加函数 平均星形函数 平均超可加函数 IFR IFRA TTT变换序 convex functions average convex functions star-shaped functions supperadditive functions average star-shaped functions average supperadditive functions IFR order IFRA order, TTT transform order
  • 相关文献

参考文献3

  • 1张春苟.Szász-Kantorovich算子的保形性质[J].应用数学学报,2005,28(3):497-505. 被引量:3
  • 2Dian-tong Kang M.Sc.. On closure properties of NBU(2) class of life distributions[J] 2005,Journal of Shanghai University (English Edition)(2):103~106
  • 3Asok K. Nanda,Moshe Shaked. The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics[J] 2001,Annals of the Institute of Statistical Mathematics(4):853~864

二级参考文献8

  • 1Chen Wenzhong. Approximation Theory of Operators. Xiamen: Xiamen University Press, 1989 (in Chinese).
  • 2Khan M K, Vecchia B D, Fassih A. On the Monotonicity of Positive Linear Operators. Journal of Approximation Theory, 1998, 92:22-37.
  • 3Carbone I. Shape Proserving Properties of Some Positive Linear Operators on Unbounded Intervals.Journal of Approximation Theory, 1998, 93:140-156.
  • 4Adell J A, Palomaxes A P. Best Constants in Preservation Inequalities Concerning the First Modulusand Lipschitz Classes for Bernsteintype Operators. Journal of Approximation Theory, 1998, 93:128-139.
  • 5Jesús de la Cal, Javier Cáixcaxno. On Certain Best Constants for Bernstein-type Operators. Journal of Approximation Theory, 2001, 113:189-206.
  • 6Bruckner A M, Ostrow E. Some Function Glasses Related to the Glass of Convex Functions. Pacific J. Math., 1962, 12:1203-1215.
  • 7Boehme T K, Bruckner A M. Functions with Convex Means. Pacific J. Math., 1964, 14:1137-1149.
  • 8Li Zhongkai. Bernstein Polynomails and Modulus of Continuity. Journal of Approximation Theory,2000, 102:171-174.

共引文献2

同被引文献2

  • 1李海芬,茆诗松.Pareto分布的检验[J].徐州师范大学学报(自然科学版),2004,22(3):12-16. 被引量:10
  • 2Asok K. Nanda,Moshe Shaked. The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics[J] 2001,Annals of the Institute of Statistical Mathematics(4):853~864

引证文献1

二级引证文献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