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Converse result on Szász-type operators

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Abstract

Szász-type operators can be constructed by a Poisson process. The purpose of this paper is to derive the converse result in connection with Szász-type operators by Steckin-Marchaud-type inequalities and new Ditzian modulus of continuity. The degree of approximation on deterministic signals is also given.

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Authors and Affiliations

  1. School of Sciences, Tianjin University, Tianjin, 300072, China

    Zhanjie Song  (宋占杰)

  2. Institute of TV and Image Information, Tianjin University, Tianjin, 300072, China

    Zhanjie Song  (宋占杰)

Authors
  1. Zhanjie Song  (宋占杰)
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Correspondence to Zhanjie Song  (宋占杰).

Additional information

Supported by National Natural Science Foundation of China (No.60872161), Natural Science Foundation of Tianjin (No. 08JCYBJC09600).

SONG Zhanjie, born in 1965, male, Dr, Prof.

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Song, Z. Converse result on Szász-type operators. Trans. Tianjin Univ. 16, 135–137 (2010). https://doi.org/10.1007/s12209-010-0024-3

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  • DOI: https://doi.org/10.1007/s12209-010-0024-3

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