Integro Cubic Splines on Non-Uniform Grids and Their Properties

Integro Cubic Splines on Non-Uniform Grids and Their Properties

Year:    2021

Author:    T. Zhanlav, R. Mijiddorj

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.030920.251220

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 406–420

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

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

Author Details

T. Zhanlav

R. Mijiddorj

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