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Research Article Open access CC BY 3.0

A Generalized Non-Stationary 4-Point b-ary Approximating Scheme

Pakeeza Ashraf, Ghulam Mustafa

Journal of Advances in Mathematics and Computer Science · pp. 104–119 · Published 16 Oct 2013

10.9734/BJMCS/2014/4120

Abstract

A generalized non-stationary 4-point b-ary approximating subdivision scheme is presented for even integer b≥2. Lagrange trigonometric polynomial plays a key role in computation of mask of the generalized scheme. The proposed schemes can be considered as non-stationary counterpart of existing stationary approximating schemes. Asymptotic equivalence technique is used for convergence analysis of the proposed schemes. Efficiency of proposed schemes is illustrated with the help of some examples.

4-point approximating non-stationary subdivision scheme Lagrange asymptotic equivalence.

Cited by 7

A new class of odd-point ternary non-stationary approximating schemes

Ghulam Mustafa, Mehwish Bari · SeMA Journal · 2015

Binary 3-point and 4-point non-stationary subdivision schemes using hyperbolic function

Shahid S. Siddiqi, Wardat us Salam, Kashif Rehan · Applied Mathematics and Computation · 2015

A family of 4-point odd-ary non-stationary subdivision schemes

Ghulam Mustafa, Pakeeza Ashraf · SeMA Journal · 2015

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