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Volume 28, Issue 3
General Structures of Block Based Interpolational Function

Le Zou & Shuo Tang

Commun. Math. Res., 28 (2012), pp. 193-208.

Published online: 2021-05

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  • Abstract

We construct general structures of one and two variable interpolation function, without depending on the existence of divided difference or inverse differences, and we also discuss the block based osculatory interpolation in one variable case. Clearly, our method offers many flexible interpolation schemes for choices. Error terms for the interpolation are determined and numerical examples are given to show the effectiveness of the results.

  • Keywords

osculatory interpolation, continued fractions interpolation, blending rational interpolation, block based interpolation.

  • AMS Subject Headings

41A20, 65D05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-193, author = {Le and Zou and and 18500 and and Le Zou and Shuo and Tang and and 18502 and and Shuo Tang}, title = {General Structures of Block Based Interpolational Function}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {3}, pages = {193--208}, abstract = {

We construct general structures of one and two variable interpolation function, without depending on the existence of divided difference or inverse differences, and we also discuss the block based osculatory interpolation in one variable case. Clearly, our method offers many flexible interpolation schemes for choices. Error terms for the interpolation are determined and numerical examples are given to show the effectiveness of the results.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19041.html} }
TY - JOUR T1 - General Structures of Block Based Interpolational Function AU - Zou , Le AU - Tang , Shuo JO - Communications in Mathematical Research VL - 3 SP - 193 EP - 208 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19041.html KW - osculatory interpolation, continued fractions interpolation, blending rational interpolation, block based interpolation. AB -

We construct general structures of one and two variable interpolation function, without depending on the existence of divided difference or inverse differences, and we also discuss the block based osculatory interpolation in one variable case. Clearly, our method offers many flexible interpolation schemes for choices. Error terms for the interpolation are determined and numerical examples are given to show the effectiveness of the results.

Le Zou & Shuo Tang. (2021). General Structures of Block Based Interpolational Function. Communications in Mathematical Research . 28 (3). 193-208. doi:
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