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关于积分型Meyer-Knig和Zeller算子的一致逼近

UNIFORM APPROXIMATION BY INTEGRAL TYPE Meyer-Knig AND Zeller OPERATORS
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摘要 借助于一类K—泛函和加权光滑模之间的等价关系,给出了积分型Meyer-Konig和Zeller算子在一致逼近意义的特征刻划. The characterization of integral type Meyer-Konig and Zeller operators in view of the equivalence between K-functiona! and weighted moduli of smoothness in uniform approximation was revealed, and a two-dimensional Meyer-Konig and Zeller type operators were introduced and the characterization of them in uniform appoximation was obtained.
作者 宣培才
机构地区 浙江绍兴师专
出处 《宁波大学学报(理工版)》 CAS 1993年第2期18-24,共7页 Journal of Ningbo University:Natural Science and Engineering Edition
基金 浙江省自然科学基金
关键词 积分型Meyer-Konig和Zeller算子 一致逼近 特征刻划 K—泛函光滑模 Integral Meyer-Konig and Zeller type Operators Uniform approximation Kfunctional moduli of smoothness characterization
分类号 O [理学]
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参考文献2

  • 1Zhou Dingxuan. Uniform approximation by some Durrmeyer operators[J] 1990,Approximation Theory and its Applications(2):87~100
  • 2V. Totik. Uniform approximation by Baskakov and Meyer-K?nig and Zeller operators[J] 1983,Periodica Mathematica Hungarica(3-4):209~228

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