Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (2): 136-143.

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MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

Shi Yingguang   

  1. Computing Center, Chinese Academy of Sciences, P. O. Box 2719, Beijing 100080, China
  • Received:1992-12-13 Revised:1993-07-09 Online:1995-06-25 Published:1995-06-25
  • Supported by:
    Project supported by National Natural Science Forundation of China.

Abstract: L' convergence with 0 < p < ∞ of the positive operators Fn(da,f) and Gn(da,f), introduced by Nevai P.[3], and Qn,8(da,f), introduced by Hermann T. and Vértesi P.[1] to fC[-1.1] is proved to hold for very general measures.

Key words: Positive operators, mean convergence, orthogonal polynomials

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