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 - <p style="text-align: justify;">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.</p>