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In this paper, a procedure to construct a family of 2n-point approximating subdivision schemes is presented for an integer n > 4. Firstly, a least squares technique has been used to fit a polynomial of degree seven to data. Secondly, a family of 2n-point subdivision scheme is constructed. In particular, some important features of first three members of the family of 2n-point schemes are also discussed. Geometric performances of some members of the family are shown with the help of several examples.

Ghulam Mustafa, Rabia Hameed, Ata-u-Allah. (2019) A family of 2n-point approximating subdivision schemes based on least squares method, Punjab University Journal of Mathematics, Volume 51, Issue 9.
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