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Volume 11, Issue 2
Integro Cubic Splines on Non-Uniform Grids and Their Properties

T. Zhanlav & R. Mijiddorj

DOI: 10.4208/eajam.030920.251220

East Asian J. Appl. Math., 11 (2021), pp. 406-420.

Published online: 2021-02

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  • Abstract

Integro cubic splines on a non-uniform grid using the integral values of an unknown function are constructed. We establish a consistency relation for integro cubic spline and derive a local integro cubic spline on non-uniform partitions. Approximation and convexity properties of the local integro cubic splines are also studied.

  • Keywords

Integro cubic spline, local construction, non-uniform grid, error analysis.

  • AMS Subject Headings

65D05, 65D07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-11-406, author = {Zhanlav , T. and Mijiddorj , R.}, title = {Integro Cubic Splines on Non-Uniform Grids and Their Properties}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {2}, pages = {406--420}, abstract = {

Integro cubic splines on a non-uniform grid using the integral values of an unknown function are constructed. We establish a consistency relation for integro cubic spline and derive a local integro cubic spline on non-uniform partitions. Approximation and convexity properties of the local integro cubic splines are also studied.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.030920.251220}, url = {http://global-sci.org/intro/article_detail/eajam/18641.html} }
TY - JOUR T1 - Integro Cubic Splines on Non-Uniform Grids and Their Properties AU - Zhanlav , T. AU - Mijiddorj , R. JO - East Asian Journal on Applied Mathematics VL - 2 SP - 406 EP - 420 PY - 2021 DA - 2021/02 SN - 11 DO - http://doi.org/10.4208/eajam.030920.251220 UR - https://global-sci.org/intro/article_detail/eajam/18641.html KW - Integro cubic spline, local construction, non-uniform grid, error analysis. AB -

Integro cubic splines on a non-uniform grid using the integral values of an unknown function are constructed. We establish a consistency relation for integro cubic spline and derive a local integro cubic spline on non-uniform partitions. Approximation and convexity properties of the local integro cubic splines are also studied.

Zhanlav , T. and Mijiddorj , R.. (2021). Integro Cubic Splines on Non-Uniform Grids and Their Properties. East Asian Journal on Applied Mathematics. 11 (2). 406-420. doi:10.4208/eajam.030920.251220
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