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CONVERGENCE RATES FOR LACUNARY TRIGONOMETRIC INTERPOLATION IN _(2π)~p SPACES

CONVERGENCE RATES FOR LACUNARY TRIGONOMETRIC INTERPOLATION IN ■ SPACES
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摘要 The saturation rate and class of (0,m1,m2, …,mq) trigonometric inter polation operators in . spaces have been determined by Cavaretta and Selvaraj. In this paper, we consider the convergence and saturation problems of these operators in (1≤p≤∞) and obtain complete results. The saturation rate and class of (0,m1,m2, …,mq) trigonometric inter polation operators in . spaces have been determined by Cavaretta and Selvaraj. In this paper, we consider the convergence and saturation problems of these operators in (1≤p≤∞) and obtain complete results.
出处 《Analysis in Theory and Applications》 1999年第2期90-99,共10页 分析理论与应用(英文刊)
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参考文献2

  • 1Liu Yongping. On the trigonometric interpolation and the entire interpolation[J] 1990,Approximation Theory and its Applications(4):85~106
  • 2A. S. Cavarotta,C. R. Selvaraj. Convergence rates for lacunary trigonometric interpolation[J] 1989,Approximation Theory and its Applications(2):25~38

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