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Applications of Price Functions and Haar Type Functions to the Numerical Integration

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

By analogy with the theory of good lattice points for the numerical integration of rapidly convergent Walsh series, in the present paper the author use the Price functional system and Haar type functional system, defined in the generalized number system, for numerical integration. We consider two classes of functions, whose Fourier-Price and Fourier-Haar coefficients satisfy specific conditions. For this classes we obtain the exact orders of the error of the quadrature formula with good lattice points, constructed in the generalized number system.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 8, 1113, Sofia, Bulgaria

    S. S. Stoilova

Authors
  1. S. S. Stoilova
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Editor information

Editors and Affiliations

  1. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, P.O. Box, Hong Kong

    Zhilin Li

  2. Department of Mathematics, University of Rousse, 7017, Rousse, Bulgaria

    Lubin Vulkov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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Stoilova, S.S. (2005). Applications of Price Functions and Haar Type Functions to the Numerical Integration. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_61

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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