数学季刊 ›› 1994, Vol. 9 ›› Issue (2): 77-86.

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The Convergences of Bivariate Integral Jackson Interpolating Operators in Orlicz Spaces

  

  1. Department of Math.,Baoji College of Arts and Sciences


  • 收稿日期:1993-01-02 出版日期:1994-06-30 发布日期:2025-04-28

The Convergences of Bivariate Integral Jackson Interpolating Operators in Orlicz Spaces

  1. Department of Math.,Baoji College of Arts and Sciences
  • Received:1993-01-02 Online:1994-06-30 Published:2025-04-28

摘要: This paper introduces a kind ofbivariate integral trigonometrical interpolating polynomials, proves its boundedness in orlicz spaces and gives the quantative estimate degree of approximation in orlicz norm,As application,the degree of approximation by a kind of bivariate integral Hermite-Fejer interpolating operatorsi given in the veight orlicz spaces.


关键词: Orlicz space, Hermite-Fejer interpolating operators, Jackson interpolating operators

Abstract: This paper introduces a kind ofbivariate integral trigonometrical interpolating polynomials, proves its boundedness in orlicz spaces and gives the quantative estimate degree of approximation in orlicz norm,As application,the degree of approximation by a kind of bivariate integral Hermite-Fejer interpolating operatorsi given in the veight orlicz spaces.


Key words: Orlicz space, Hermite-Fejer interpolating operators, Jackson interpolating operators

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