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Volume 28, Issue 2
Quartic Convex Type Piecewise Polynomial

Manprit Kaur & Arun Kumar

DOI: 10.3969/j.issn.1672-4070.2012.02.007

Anal. Theory Appl., 28 (2012), pp. 172-179.

Published online: 2012-06

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  • Abstract

In the present paper we consider quartic piecewise polynomial for approximation to the function $f ∈ C^2[0,1]$. A convex type condition has been imposed in the partition so that the matrix involved for the computation of pp functions is of lower band. This reduces the computation for constructions of the pp functions for the approximation.

  • Keywords

piecewise polynomial, interpolation, deficient splines.

  • AMS Subject Headings

41A15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-28-172, author = {Manprit Kaur , and Kumar , Arun}, title = {Quartic Convex Type Piecewise Polynomial}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {2}, pages = {172--179}, abstract = {

In the present paper we consider quartic piecewise polynomial for approximation to the function $f ∈ C^2[0,1]$. A convex type condition has been imposed in the partition so that the matrix involved for the computation of pp functions is of lower band. This reduces the computation for constructions of the pp functions for the approximation.

}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.02.007}, url = {http://global-sci.org/intro/article_detail/ata/4553.html} }
TY - JOUR T1 - Quartic Convex Type Piecewise Polynomial AU - Manprit Kaur , AU - Kumar , Arun JO - Analysis in Theory and Applications VL - 2 SP - 172 EP - 179 PY - 2012 DA - 2012/06 SN - 28 DO - http://doi.org/10.3969/j.issn.1672-4070.2012.02.007 UR - https://global-sci.org/intro/article_detail/ata/4553.html KW - piecewise polynomial, interpolation, deficient splines. AB -

In the present paper we consider quartic piecewise polynomial for approximation to the function $f ∈ C^2[0,1]$. A convex type condition has been imposed in the partition so that the matrix involved for the computation of pp functions is of lower band. This reduces the computation for constructions of the pp functions for the approximation.

Manprit Kaur , and Kumar , Arun. (2012). Quartic Convex Type Piecewise Polynomial. Analysis in Theory and Applications. 28 (2). 172-179. doi:10.3969/j.issn.1672-4070.2012.02.007
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