期刊文献+

Meyer-KnigandZeller算子的保形问题 被引量:1

On Shape Preserving of Meyer-Knig and Zeller Operators
原文传递
导出
摘要 讨论了 Meyer-Knig and Zeller算子的保形逼近问题 ,我们用基于算子特殊结构的分析方法得到了该算子的保单调性 .保凸性以及保形逆定理等保形性质 . In this paper, properties of shape preserving for Meyer-Konig and Zeller Operators are considered, of which the monotonicity and convexity preserving as well as the inverse theorem of shape preserving are obtained by analytical method clopend on the special construct of the operators.
作者 张春苟
出处 《数学的实践与认识》 CSCD 北大核心 2005年第3期176-179,共4页 Mathematics in Practice and Theory
基金 国家自然科学基金资助项目 (1 0 3 71 0 80 ) 北京市教委资助项目
关键词 Meyer-Koenig算子 ZELLER算子 逼近性质 保形逆定理 幂级数 Meyer-Knig and Zeller operators preserving shape approximation inverse theorem of shape preserving
  • 相关文献

参考文献8

  • 1陈文忠 郭顺生.关于Meyer—Konig and Zeller算子对有界变差函数的点态逼近度[J].数学年刊,1988,9(2):234-240.
  • 2Cheney E W, Sharma A. Bernstein power series[J]. Can J Math, 1964, 16: 241-252.
  • 3Becker M, Nessel R J. A globle approximation theorem for Meyer-Konig and Zeller operators[J]. Math Z, 1978,160: 195-206.
  • 4Totik V. Approximation by Meyer-Konig and Zeller type operators[J]. Math Z, 1983, 184: 425-446.
  • 5Abel U. The complete asymptotic expansion for the Meyer-Konig and Zeller oper-ators [J]. Journal of Mathematical Analysis and Application, 1997, 280: 109-119.
  • 6Khan R A. Some probabilistic methods in the theory of approximation operators[J]. Acta Math Sci Hung, 1980,39: 193-203.
  • 7José A. Adell. Ana Pérez-Palomares, Best Constants in Preservation Inequa-lities concerning the First Modulus and Lipschtz Classes for Bernstein-Type Operators[J]. J A T, 1998, 93: 128-139.
  • 8Kosmák L. Les polynomes de Bernsteindes fonctions convxes[J]. Mathematica, 1967, 9.32(1): 71-75.

同被引文献5

引证文献1

二级引证文献1

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