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Volume 32, Issue 1
General Interpolation Formulae for Barycentric Blending Interpolation

Y. G. Zhang

DOI: 10.4208/ata.2016.v32.n1.6

Anal. Theory Appl., 32 (2016), pp. 65-77.

Published online: 2016-01

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  • Abstract

General interpolation formulae for barycentric interpolation and barycentric rational Hermite interpolation are established by introducing multiple parameters, which include many kinds of barycentric interpolation and barycentric rational Hermite interpolation. We discussed the interpolation theorem, dual interpolation and special cases. Numerical example is given to show the effectiveness of the method.

  • Keywords

General interpolation formulae of interpolation, barycentric interpolation, barycentric rational Hermite interpolation.

  • AMS Subject Headings

41A20, 65D05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-32-65, author = {Y. G. Zhang}, title = {General Interpolation Formulae for Barycentric Blending Interpolation}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {1}, pages = {65--77}, abstract = {

General interpolation formulae for barycentric interpolation and barycentric rational Hermite interpolation are established by introducing multiple parameters, which include many kinds of barycentric interpolation and barycentric rational Hermite interpolation. We discussed the interpolation theorem, dual interpolation and special cases. Numerical example is given to show the effectiveness of the method.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n1.6}, url = {http://global-sci.org/intro/article_detail/ata/4655.html} }
TY - JOUR T1 - General Interpolation Formulae for Barycentric Blending Interpolation AU - Y. G. Zhang JO - Analysis in Theory and Applications VL - 1 SP - 65 EP - 77 PY - 2016 DA - 2016/01 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n1.6 UR - https://global-sci.org/intro/article_detail/ata/4655.html KW - General interpolation formulae of interpolation, barycentric interpolation, barycentric rational Hermite interpolation. AB -

General interpolation formulae for barycentric interpolation and barycentric rational Hermite interpolation are established by introducing multiple parameters, which include many kinds of barycentric interpolation and barycentric rational Hermite interpolation. We discussed the interpolation theorem, dual interpolation and special cases. Numerical example is given to show the effectiveness of the method.

Y. G. Zhang. (2016). General Interpolation Formulae for Barycentric Blending Interpolation. Analysis in Theory and Applications. 32 (1). 65-77. doi:10.4208/ata.2016.v32.n1.6
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