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Inverse Estimates for Some Feller Operators

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High Performance Networking, Computing, and Communication Systems (ICHCC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 163))

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Abstract

We establish Stechkin-Marchaud-type inequalities for some Feller operators by using some modified Ditzian-Totik modulus of smoothness. Then we derive some inverse results for this family of operators. Moreover combing the inverse results with the direct estimate we obtain a equivalent theorem.

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Author information

Authors and Affiliations

  1. Department of Mathematics, School of Science, Tianjin University, Tianjin, 300072, China

    Song Zhanjie

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

    Song Zhanjie

  3. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, China

    Ye Peixin

Authors
  1. Song Zhanjie
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  2. Ye Peixin
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Editor information

Editors and Affiliations

  1. Huazhong Normal University, Luoyu Road 452, 430079, Wuhan, Hubei, China

    Yanwen Wu

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhanjie, S., Peixin, Y. (2011). Inverse Estimates for Some Feller Operators. In: Wu, Y. (eds) High Performance Networking, Computing, and Communication Systems. ICHCC 2011. Communications in Computer and Information Science, vol 163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25002-6_17

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  • DOI: https://doi.org/10.1007/978-3-642-25002-6_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25001-9

  • Online ISBN: 978-3-642-25002-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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