EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Leont′ev Approximation


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

Approximated Leont′ev Coefficients

B. Forster

Journal of Computational Analysis and Applications, vol. 7, no. 2, pp. 123-134, April 2006.



We consider Dirichlet series on convex polygons and their rate of approximation in AC(D‾). We show that the substitution of the respective Leont′ev coefficients by appropriate interpolating sums preserves the order of approximation up to a factor ln n. The estimates are given for moduli of smoothness of arbitrary order. This extends a result of Yu. I. Mel′nik in [1].

References

  1. Y.I. Mel′nik, "On Approximation of Functions Regular in Convex Polygons by Exponential Polynomials of Special Form," Ukrainian Mathematical Journal, vol. 44, no. 3, pp. 368-370, March 1992.


@ARTICLE(http://bigwww.epfl.ch/publications/forster0602.html,
AUTHOR="Forster, B.",
TITLE="Approximated {L}eont'ev Coefficients",
JOURNAL="Journal of Computational Analysis and Applications",
YEAR="2006",
volume="7",
number="2",
pages="123--134",
month="April",
note="")

© 2006 Eudoxus. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from Eudoxus.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.